Pith Number

pith:B6KC3F5T

pith:2012:B6KC3F5TCDSUUOUJMVACQWMKIJ

not attested not anchored not stored refs pending

$\cF$-functional and geodesic stability

Weiyong He

arxiv:1208.1020 v2 · 2012-08-05 · math.DG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6KC3F5TCDSUUOUJMVACQWMKIJ}

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	2026-05-18T01:12:58.953912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f942d97b310e54a3a89654028598a4250ff4bc7855c05bfd2d6f5949e73bac1

Aliases

arxiv: 1208.1020 · arxiv_version: 1208.1020v2 · doi: 10.48550/arxiv.1208.1020 · pith_short_12: B6KC3F5TCDSU · pith_short_16: B6KC3F5TCDSUUOUJ · pith_short_8: B6KC3F5T

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/B6KC3F5TCDSUUOUJMVACQWMKIJ \
  | 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: 0f942d97b310e54a3a89654028598a4250ff4bc7855c05bfd2d6f5949e73bac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e392b3e8ce68f8d6fd7ad48c3d63c8446b5706845ca78b4380548ec03dafad60",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-08-05T15:15:18Z",
    "title_canon_sha256": "c74763ef26ee8b63b103a2a5e37ff1415005ad15625a7ea8eb257ec03231221a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1020",
    "kind": "arxiv",
    "version": 2
  }
}