Pith Number

pith:7CGQIOB7

pith:2006:7CGQIOB7GWZA7DCT5Q73KJVL44

not attested not anchored not stored refs pending

Goldfishing by gauge theory

E. Langmann, F. Calogero

arxiv:math-ph/0605077 v1 · 2006-05-30 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CGQIOB7GWZA7DCT5Q73KJVL44}

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	2026-05-18T04:26:44.119569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f88d04383f35b20f8c53ec3fb526abe724c901e0645ba5e7b0c099d4ac3044bf

Aliases

arxiv: math-ph/0605077 · arxiv_version: math-ph/0605077v1 · doi: 10.48550/arxiv.math-ph/0605077 · pith_short_12: 7CGQIOB7GWZA · pith_short_16: 7CGQIOB7GWZA7DCT · pith_short_8: 7CGQIOB7

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/7CGQIOB7GWZA7DCT5Q73KJVL44 \
  | 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: f88d04383f35b20f8c53ec3fb526abe724c901e0645ba5e7b0c099d4ac3044bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bcbfdb5af4f84a829ca4617cf868a4903f64338bed1dfbf8cef3ec8f450f6b5",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-05-30T16:55:27Z",
    "title_canon_sha256": "1262abc655eaa3cff02adc2361764aa21a94be67092dfa153876d4fe4ed9a735"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0605077",
    "kind": "arxiv",
    "version": 1
  }
}