Pith Number

pith:AZIBS4JQ

pith:2013:AZIBS4JQXGIUXZ6RQHQ3LUS3XK

not attested not anchored not stored refs pending

Gaussian curvature in codimension > 1

Daniel Alvarez-Gavela

arxiv:1312.2554 v4 · 2013-12-09 · 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{AZIBS4JQXGIUXZ6RQHQ3LUS3XK}

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	2026-05-18T01:16:54.857667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0650197130b9914be7d181e1b5d25bbab1c74168d776037851e829870b66af68

Aliases

arxiv: 1312.2554 · arxiv_version: 1312.2554v4 · doi: 10.48550/arxiv.1312.2554 · pith_short_12: AZIBS4JQXGIU · pith_short_16: AZIBS4JQXGIUXZ6R · pith_short_8: AZIBS4JQ

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/AZIBS4JQXGIUXZ6RQHQ3LUS3XK \
  | 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: 0650197130b9914be7d181e1b5d25bbab1c74168d776037851e829870b66af68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61a3df4716f0613944250adb811ec2467968bb806397605b771567e43b2a0e17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-09T19:33:13Z",
    "title_canon_sha256": "5c1b3a9db982d61338241836ba2ecb68d4059ba76df39cccc211323a16163d2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2554",
    "kind": "arxiv",
    "version": 4
  }
}