Pith Number

pith:ZCL4VJRF

pith:2014:ZCL4VJRFXY5PJUJJLYDEDGZZAE

not attested not anchored not stored refs pending

Hamiltonian spectral invariants, symplectic spinors and Frobenius structures I

Andreas Klein

arxiv:1411.4237 v7 · 2014-11-16 · 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{ZCL4VJRFXY5PJUJJLYDEDGZZAE}

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	2026-05-18T01:22:08.384709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c897caa625be3af4d1295e06419b39011aae16cc54d0b159cc1c4b18c636e4f1

Aliases

arxiv: 1411.4237 · arxiv_version: 1411.4237v7 · doi: 10.48550/arxiv.1411.4237 · pith_short_12: ZCL4VJRFXY5P · pith_short_16: ZCL4VJRFXY5PJUJJ · pith_short_8: ZCL4VJRF

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/ZCL4VJRFXY5PJUJJLYDEDGZZAE \
  | 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: c897caa625be3af4d1295e06419b39011aae16cc54d0b159cc1c4b18c636e4f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce5877d0b692dd66616514ef0bee3cfed2987daf7766134b1437c29d0bec12bc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-16T10:16:58Z",
    "title_canon_sha256": "127b7f6c6052fbc86c6842d655284e8147ae35924ffe2024c11ef8bce15c61f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4237",
    "kind": "arxiv",
    "version": 7
  }
}