Pith Number

pith:JFIBRPEB

pith:2013:JFIBRPEBDAZEEO7YPKGMNMOCF6

not attested not anchored not stored refs pending

Hamiltonian fixed points, symplectic spinors and Frobenius structures

Andreas Klein

arxiv:1306.2077 v7 · 2013-06-10 · math.DG · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JFIBRPEBDAZEEO7YPKGMNMOCF6}

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	2026-05-18T02:35:52.478007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

495018bc811832423bf87a8cc6b1c22fa3d416ce004ec9b018f9f5838dca7dd0

Aliases

arxiv: 1306.2077 · arxiv_version: 1306.2077v7 · doi: 10.48550/arxiv.1306.2077 · pith_short_12: JFIBRPEBDAZE · pith_short_16: JFIBRPEBDAZEEO7Y · pith_short_8: JFIBRPEB

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/JFIBRPEBDAZEEO7YPKGMNMOCF6 \
  | 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: 495018bc811832423bf87a8cc6b1c22fa3d416ce004ec9b018f9f5838dca7dd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0732e5639d1d7e27de763964edfdc96718275b3a622d2843ac9931bafeccf20f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-10T00:24:47Z",
    "title_canon_sha256": "3a9861e65101fa16b92d2329de37e0a6080d1a2ff86d182dd5f2ede1a3463c67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2077",
    "kind": "arxiv",
    "version": 7
  }
}