Pith Number

pith:43PKIAYH

pith:2009:43PKIAYHAYCTBODG6MYWATCLMX

not attested not anchored not stored refs pending

On the S-fundamental group scheme II

Adrian Langer

arxiv:0912.2623 v3 · 2009-12-14 · 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{43PKIAYHAYCTBODG6MYWATCLMX}

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	2026-05-18T02:20:48.231885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6dea40307060530b866f331604c4b65d928cc8eb5bb2bb4b0b04700295dd764

Aliases

arxiv: 0912.2623 · arxiv_version: 0912.2623v3 · doi: 10.48550/arxiv.0912.2623 · pith_short_12: 43PKIAYHAYCT · pith_short_16: 43PKIAYHAYCTBODG · pith_short_8: 43PKIAYH

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/43PKIAYHAYCTBODG6MYWATCLMX \
  | 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: e6dea40307060530b866f331604c4b65d928cc8eb5bb2bb4b0b04700295dd764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5b5779ab31a0725146ca84bb29d0d987f73e10358e36f71b528b758202e2002",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-14T11:40:08Z",
    "title_canon_sha256": "2854f668652f56eb6ef83a1df83b2e90508c89938154afd5168edfcc7a741c4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2623",
    "kind": "arxiv",
    "version": 3
  }
}