Pith Number

pith:JOX7MFLE

pith:2008:JOX7MFLEO7BBMFKWF4TAIP4O6K

not attested not anchored not stored refs pending

Minimization variational principles for acoustics, elastodynamics, and electromagnetism in lossy inhomogeneous bodies at fixed frequency

Graeme W. Milton, Guy Bouchitte, Pierre Seppecher

arxiv:0807.1336 v2 · 2008-07-08 · math-ph · cond-mat.mtrl-sci · math.AP · math.MP · physics.class-ph · physics.optics

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOX7MFLEO7BBMFKWF4TAIP4O6K}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:22:50.304330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4baff6156477c21615562f26043f8ef2aab144541cedeb2440334d7acb4b7e8a

Aliases

arxiv: 0807.1336 · arxiv_version: 0807.1336v2 · doi: 10.48550/arxiv.0807.1336 · pith_short_12: JOX7MFLEO7BB · pith_short_16: JOX7MFLEO7BBMFKW · pith_short_8: JOX7MFLE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JOX7MFLEO7BBMFKWF4TAIP4O6K \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4baff6156477c21615562f26043f8ef2aab144541cedeb2440334d7acb4b7e8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11ae1eae652f12564d4e83b187b4d55762069218577dda4e51617fced833a9ae",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.AP",
      "math.MP",
      "physics.class-ph",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-07-08T20:43:32Z",
    "title_canon_sha256": "c71507e000087813f791a085db8e59d0d86665c2338185c51ffe0688c2635bc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1336",
    "kind": "arxiv",
    "version": 2
  }
}