Pith Number

pith:U4Q622FJ

pith:2006:U4Q622FJLPWHZZJQLCTEOAN7H5

not attested not anchored not stored refs pending

Dynamical behavior of a large complex system

B. Tirozzi, J. F. Feng, M. Shcherbina

arxiv:math-ph/0612005 v1 · 2006-12-01 · math-ph · math.MP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4Q622FJLPWHZZJQLCTEOAN7H5}

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	2026-05-18T04:08:43.320206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a721ed68a95bec7ce53058a64701bf3f6addcd1c6b0c0a3506501eb35be78cdd

Aliases

arxiv: math-ph/0612005 · arxiv_version: math-ph/0612005v1 · doi: 10.48550/arxiv.math-ph/0612005 · pith_short_12: U4Q622FJLPWH · pith_short_16: U4Q622FJLPWHZZJQ · pith_short_8: U4Q622FJ

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/U4Q622FJLPWHZZJQLCTEOAN7H5 \
  | 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: a721ed68a95bec7ce53058a64701bf3f6addcd1c6b0c0a3506501eb35be78cdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b07fd26e0d7f45725944792ea2a5d380f25f6232142797093210a4e868ce35de",
    "cross_cats_sorted": [
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-12-01T18:47:47Z",
    "title_canon_sha256": "9892b030b0f13d0085ba2976a3f3e46948e88ecaff0b42a962ca7bdfe64306ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0612005",
    "kind": "arxiv",
    "version": 1
  }
}