Pith Number

pith:WX7J37BS

pith:2007:WX7J37BS2CS4ID42M36JUYMAQY

not attested not anchored not stored refs pending

A Remark on Almost Umbilical Hypersurfaces

Julien Roth (LAMA)

arxiv:0710.5041 v2 · 2007-10-26 · 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{WX7J37BS2CS4ID42M36JUYMAQY}

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	2026-05-18T03:26:32.820737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5fe9dfc32d0a5c40f9a66fc9a61808611249d6b1131e911541c838a19a97829

Aliases

arxiv: 0710.5041 · arxiv_version: 0710.5041v2 · doi: 10.48550/arxiv.0710.5041 · pith_short_12: WX7J37BS2CS4 · pith_short_16: WX7J37BS2CS4ID42 · pith_short_8: WX7J37BS

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/WX7J37BS2CS4ID42M36JUYMAQY \
  | 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: b5fe9dfc32d0a5c40f9a66fc9a61808611249d6b1131e911541c838a19a97829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b9918b8d49dbb6e4cc26a9cb0ffd6d0349baced74a3b78c6e70d5c51509673",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2007-10-26T09:54:05Z",
    "title_canon_sha256": "39f9ccb8a2f13779ba2302a24ec49dd3420f293982225c1caebdba630f949216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5041",
    "kind": "arxiv",
    "version": 2
  }
}