Pith Number

pith:5MHCSDAT

pith:2005:5MHCSDATTND7TA7FX3J5TZIWDR

not attested not anchored not stored refs pending

A renormalized index theorem for some complete asymptotically regular metrics: the Gauss-Bonnet theorem

Pierre Albin

arxiv:math/0512167 v1 · 2005-12-08 · 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{5MHCSDATTND7TA7FX3J5TZIWDR}

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	2026-05-18T04:32:20.599811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb0e290c139b47f983e5bed3d9e5161c49b518c3c31c75c940f88a77d210e804

Aliases

arxiv: math/0512167 · arxiv_version: math/0512167v1 · doi: 10.48550/arxiv.math/0512167 · pith_short_12: 5MHCSDATTND7 · pith_short_16: 5MHCSDATTND7TA7F · pith_short_8: 5MHCSDAT

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/5MHCSDATTND7TA7FX3J5TZIWDR \
  | 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: eb0e290c139b47f983e5bed3d9e5161c49b518c3c31c75c940f88a77d210e804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a835fcf00618d692804a3a8140dfcb440bf041b82401010f1da90d12d4655cc5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-12-08T07:10:30Z",
    "title_canon_sha256": "195faead2a82f490024d8f1337842566ae763514dea2d431358ca14bc5c40ed4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512167",
    "kind": "arxiv",
    "version": 1
  }
}