Pith Number

pith:POSL4T2S

pith:2013:POSL4T2SMNV3F37NEXXKPWCYYG

not attested not anchored not stored refs pending

Total diameter and area of closed submanifolds

Mohammad Ghomi, Ralph Howard

arxiv:1312.1384 v2 · 2013-12-04 · math.DG · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POSL4T2SMNV3F37NEXXKPWCYYG}

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	2026-05-18T02:29:11.246157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ba4be4f52636bb2efed25eea7d858c1acc8289f29118b7d5f828bc79fafa06e

Aliases

arxiv: 1312.1384 · arxiv_version: 1312.1384v2 · doi: 10.48550/arxiv.1312.1384 · pith_short_12: POSL4T2SMNV3 · pith_short_16: POSL4T2SMNV3F37N · pith_short_8: POSL4T2S

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/POSL4T2SMNV3F37NEXXKPWCYYG \
  | 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: 7ba4be4f52636bb2efed25eea7d858c1acc8289f29118b7d5f828bc79fafa06e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "617ee5531e34dbce066782e28708ac3f8ed58f3bf0096d52e500e75ccf4cd629",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-04T23:37:13Z",
    "title_canon_sha256": "4fb0ab426577948e72c258b6cd0a5bc2234375373b07708586a8254cc141c1b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1384",
    "kind": "arxiv",
    "version": 2
  }
}