Pith Number

pith:QMOYGEPK

pith:2012:QMOYGEPKSBJUXRMTP7BPNFVLZ7

not attested not anchored not stored refs pending

Grothendieck ring class of Banana and Flower graphs

Pedro Morales

arxiv:1208.4129 v2 · 2012-08-20 · 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{QMOYGEPKSBJUXRMTP7BPNFVLZ7}

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	2026-05-18T00:59:35.666436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

831d8311ea90534bc5937fc2f696abcfdd79df9d00ed7261994265bce5787ef6

Aliases

arxiv: 1208.4129 · arxiv_version: 1208.4129v2 · doi: 10.48550/arxiv.1208.4129 · pith_short_12: QMOYGEPKSBJU · pith_short_16: QMOYGEPKSBJUXRMT · pith_short_8: QMOYGEPK

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/QMOYGEPKSBJUXRMTP7BPNFVLZ7 \
  | 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: 831d8311ea90534bc5937fc2f696abcfdd79df9d00ed7261994265bce5787ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cc17b18b350e3510bcd6dc3d94f9cdf143cd62238caa197db6046e536438ab5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-20T22:04:50Z",
    "title_canon_sha256": "75a18d0b63b2f7a8ffb10a2e1ab36f9c5274b1fab57a4a91174a5c2ce6ac23b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4129",
    "kind": "arxiv",
    "version": 2
  }
}