Pith Number

pith:CO3A7OUU

pith:2011:CO3A7OUU7SXTHGE5VZYOT5H46T

not attested not anchored not stored refs pending

The fundamental group is not a derived invariant

Christian Schnell

arxiv:1112.3586 v1 · 2011-12-15 · 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{CO3A7OUU7SXTHGE5VZYOT5H46T}

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	2026-05-18T04:06:18.233580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13b60fba94fcaf33989dae70e9f4fcf4e6728bb821109367ad0fc9149c2cc44c

Aliases

arxiv: 1112.3586 · arxiv_version: 1112.3586v1 · doi: 10.48550/arxiv.1112.3586 · pith_short_12: CO3A7OUU7SXT · pith_short_16: CO3A7OUU7SXTHGE5 · pith_short_8: CO3A7OUU

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/CO3A7OUU7SXTHGE5VZYOT5H46T \
  | 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: 13b60fba94fcaf33989dae70e9f4fcf4e6728bb821109367ad0fc9149c2cc44c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0033092579374db605aecec37dbef7ecd57fe195904e5385a3f0d83f2b75d792",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-15T17:58:17Z",
    "title_canon_sha256": "d694bdbf50021b8414f49d0bd19adca066eaf060e0558b71df81fe401f14984a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3586",
    "kind": "arxiv",
    "version": 1
  }
}