Pith Number

pith:VJ2L53RJ

pith:2013:VJ2L53RJIHQM3FCDHH2QTYI52A

not attested not anchored not stored refs pending

Curvature of Hessian Manfiolds

John Armstrong, Shun-ichi Amari

arxiv:1312.1103 v1 · 2013-12-04 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJ2L53RJIHQM3FCDHH2QTYI52A}

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	2026-05-18T03:05:34.982934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa74beee2941e0cd944339f509e11dd0259660df57f8d6b78599e5b8d7ee029e

Aliases

arxiv: 1312.1103 · arxiv_version: 1312.1103v1 · doi: 10.48550/arxiv.1312.1103 · pith_short_12: VJ2L53RJIHQM · pith_short_16: VJ2L53RJIHQM3FCD · pith_short_8: VJ2L53RJ

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/VJ2L53RJIHQM3FCDHH2QTYI52A \
  | 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: aa74beee2941e0cd944339f509e11dd0259660df57f8d6b78599e5b8d7ee029e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e32118b183aa57c939e9b020e2ff60311ba51f49d8f796f6c8eb52b55a77174d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-04T10:56:35Z",
    "title_canon_sha256": "2c95d348c0ac01cc07da8834a1dd854b7042b3f6003c8a6ac77182ae6e9be721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1103",
    "kind": "arxiv",
    "version": 1
  }
}