Pith Number

pith:RYQY5N56

pith:2012:RYQY5N56NVKVOYXMQC2NPT4DTF

not attested not anchored not stored refs pending

Commutative formal groups arising from schemes

Andre Chatzistamatiou

arxiv:1203.4926 v4 · 2012-03-22 · 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{RYQY5N56NVKVOYXMQC2NPT4DTF}

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	2026-05-18T02:57:06.971719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e218eb7be6d555762ec80b4d7cf83997ad7ea9ddf9b9f6efa3adad8d69faa47

Aliases

arxiv: 1203.4926 · arxiv_version: 1203.4926v4 · doi: 10.48550/arxiv.1203.4926 · pith_short_12: RYQY5N56NVKV · pith_short_16: RYQY5N56NVKVOYXM · pith_short_8: RYQY5N56

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/RYQY5N56NVKVOYXMQC2NPT4DTF \
  | 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: 8e218eb7be6d555762ec80b4d7cf83997ad7ea9ddf9b9f6efa3adad8d69faa47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54160c354c95f6ae16a5eb1cc3c6f178d5fd9b5633cd8d3663ba2ea907b2222b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-22T09:15:44Z",
    "title_canon_sha256": "cc71f7bffe8c9456abce8b49786432833afb63a9787a12b2485bfed080893f06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4926",
    "kind": "arxiv",
    "version": 4
  }
}