Pith Number

pith:3FDFXHMO

pith:2011:3FDFXHMO4BZQACPW27SOWXZODZ

not attested not anchored not stored refs pending

Bounds on the volume fraction of 2-phase, 2-dimensional elastic bodies and on (stress, strain) pairs in composites

Graeme Walter Milton, Loc Hoang Nguyen

arxiv:1108.5764 v1 · 2011-08-29 · math.AP · cond-mat.mtrl-sci · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FDFXHMO4BZQACPW27SOWXZODZ}

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	2026-05-18T02:00:45.067831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9465b9d8ee0730009f6d7e4eb5f2e1e7e1428216c1d8b3933c38207920344d0

Aliases

arxiv: 1108.5764 · arxiv_version: 1108.5764v1 · doi: 10.48550/arxiv.1108.5764 · pith_short_12: 3FDFXHMO4BZQ · pith_short_16: 3FDFXHMO4BZQACPW · pith_short_8: 3FDFXHMO

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/3FDFXHMO4BZQACPW27SOWXZODZ \
  | 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: d9465b9d8ee0730009f6d7e4eb5f2e1e7e1428216c1d8b3933c38207920344d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f22d2a3d6d8638d15c51d0688bb54bf2d447111a0c30f9b77a9e4c6be68f6fef",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-29T21:39:50Z",
    "title_canon_sha256": "bc8abaf489f0b8e49090445e050b7fd2cbb1e3d285e8949bdbeca17f0e3b3cbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5764",
    "kind": "arxiv",
    "version": 1
  }
}