Pith Number

pith:ZLIQCFVB

pith:2012:ZLIQCFVBXVANYLPP62HUG5AI7B

not attested not anchored not stored refs pending

Stability conditions and extremal contractions

Yukinobu Toda

arxiv:1204.0602 v1 · 2012-04-03 · 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{ZLIQCFVBXVANYLPP62HUG5AI7B}

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	2026-05-18T03:58:39.034385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad10116a1bd40dc2deff68f437408f84ef4f5ed355df62cadecdddad9e54fca

Aliases

arxiv: 1204.0602 · arxiv_version: 1204.0602v1 · doi: 10.48550/arxiv.1204.0602 · pith_short_12: ZLIQCFVBXVAN · pith_short_16: ZLIQCFVBXVANYLPP · pith_short_8: ZLIQCFVB

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/ZLIQCFVBXVANYLPP62HUG5AI7B \
  | 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: cad10116a1bd40dc2deff68f437408f84ef4f5ed355df62cadecdddad9e54fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c075b0a03b21eb12c1d88891654ee650e70a2502e24d74fd1acc35d61126282",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-03T05:56:05Z",
    "title_canon_sha256": "4b43d3c0bf5c03ee180f2e60a11daebe8fe2f98a557c223a7ece4ebc3b89461e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0602",
    "kind": "arxiv",
    "version": 1
  }
}