Pith Number

pith:57O4RK6N

pith:2011:57O4RK6NVISHO7VN27AABEWN6D

not attested not anchored not stored refs pending

Spectral comparisons between networks with different conductance functions

Erin P. J. Pearse, Palle E. T. Jorgensen

arxiv:1107.2786 v2 · 2011-07-14 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57O4RK6NVISHO7VN27AABEWN6D}

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	2026-05-18T02:21:42.874113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efddc8abcdaa24777eadd7c00092cdf0d1a84850eaef68ca37095603405aa11a

Aliases

arxiv: 1107.2786 · arxiv_version: 1107.2786v2 · doi: 10.48550/arxiv.1107.2786 · pith_short_12: 57O4RK6NVISH · pith_short_16: 57O4RK6NVISHO7VN · pith_short_8: 57O4RK6N

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/57O4RK6NVISHO7VN27AABEWN6D \
  | 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: efddc8abcdaa24777eadd7c00092cdf0d1a84850eaef68ca37095603405aa11a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecb9e7b9ff128233a5a82513e11bbca2c4cf1da5fa2f8c8a7c0f52079b066325",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-07-14T11:05:29Z",
    "title_canon_sha256": "67413f3d864c5692f0f14418f882aac1dd3ea0f17151e364603cdc474a1ead82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2786",
    "kind": "arxiv",
    "version": 2
  }
}