Pith Number

pith:O3IUDLFJ

pith:2005:O3IUDLFJ3DRL5G2YP3SZGODXN6

not attested not anchored not stored refs pending

Lambda and mu-symmetries

G. Gaeta

arxiv:math-ph/0502034 v1 · 2005-02-09 · math-ph · 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{O3IUDLFJ3DRL5G2YP3SZGODXN6}

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	2026-05-18T00:57:05.407111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76d141aca9d8e2be9b587ee59338776fa2d893ad4937d371098c2916327a8948

Aliases

arxiv: math-ph/0502034 · arxiv_version: math-ph/0502034v1 · doi: 10.48550/arxiv.math-ph/0502034 · pith_short_12: O3IUDLFJ3DRL · pith_short_16: O3IUDLFJ3DRL5G2Y · pith_short_8: O3IUDLFJ

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/O3IUDLFJ3DRL5G2YP3SZGODXN6 \
  | 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: 76d141aca9d8e2be9b587ee59338776fa2d893ad4937d371098c2916327a8948

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d14fd2e02061770331e9556697bb082f08b9061a1b1f15809cb7b5d7472e0c7c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-02-09T17:55:35Z",
    "title_canon_sha256": "9d74ee6faf019751d57911256d6bcfc51fe78117b06cbacfae0c409623e5a73e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0502034",
    "kind": "arxiv",
    "version": 1
  }
}