Pith Number

pith:7UZFQVHD

pith:2011:7UZFQVHDSWML2JHYF3APP25YVW

not attested not anchored not stored refs pending

On the ACC for lengths of extremal rays

Osamu Fujino, Yasuhiro Ishitsuka

arxiv:1110.2541 v2 · 2011-10-12 · 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{7UZFQVHDSWML2JHYF3APP25YVW}

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	2026-05-18T03:54:26.014733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd325854e39598bd24f82ec0f7ebb8ada69336bec3640f2516b4f214a6901820

Aliases

arxiv: 1110.2541 · arxiv_version: 1110.2541v2 · doi: 10.48550/arxiv.1110.2541 · pith_short_12: 7UZFQVHDSWML · pith_short_16: 7UZFQVHDSWML2JHY · pith_short_8: 7UZFQVHD

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/7UZFQVHDSWML2JHYF3APP25YVW \
  | 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: fd325854e39598bd24f82ec0f7ebb8ada69336bec3640f2516b4f214a6901820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c4b9f74a5b57fa045b851132bf72b525e8ff59be3cd6382facb1db41fc4e228",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-12T01:05:13Z",
    "title_canon_sha256": "ffefd4f44b96c0a9e19d90245a95a88175450b41ac99b1bc5e0005408ffdb32e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2541",
    "kind": "arxiv",
    "version": 2
  }
}