Pith Number

pith:5E5JJLUZ

pith:2008:5E5JJLUZXLARPM7QBCBREQVMLA

not attested not anchored not stored refs pending

Tagged particle process in continuum with singular interactions

Martin Grothaus, Torben Fattler

arxiv:0804.4868 v4 · 2008-04-30 · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5E5JJLUZXLARPM7QBCBREQVMLA}

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	2026-05-18T04:25:03.269457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e93a94ae99bac117b3f008831242ac581d6b3dd396fcddcf71962c080c273872

Aliases

arxiv: 0804.4868 · arxiv_version: 0804.4868v4 · doi: 10.48550/arxiv.0804.4868 · pith_short_12: 5E5JJLUZXLAR · pith_short_16: 5E5JJLUZXLARPM7Q · pith_short_8: 5E5JJLUZ

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/5E5JJLUZXLARPM7QBCBREQVMLA \
  | 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: e93a94ae99bac117b3f008831242ac581d6b3dd396fcddcf71962c080c273872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03172d08cc4ef89ff5bf4b0a4c900b15eff70cf17be444ac80268fec327857c9",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-04-30T16:53:57Z",
    "title_canon_sha256": "1b4fe34492fafba101e7d010f2661288908bf1e7f6fe3ad838719d2f19d9afff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.4868",
    "kind": "arxiv",
    "version": 4
  }
}