Pith Number

pith:CMFBR5RZ

pith:2011:CMFBR5RZEY3CAKYFGJEMGRXMAS

not attested not anchored not stored refs pending

Acyclic curves and group actions on affine toric surfaces

I. Arzhantsev, M. Zaidenberg

arxiv:1110.3028 v2 · 2011-10-13 · 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{CMFBR5RZEY3CAKYFGJEMGRXMAS}

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	2026-05-18T03:18:18.753440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

130a18f6392636202b053248c346ec048e6c9d768a2e1d34141120cbc8675fb1

Aliases

arxiv: 1110.3028 · arxiv_version: 1110.3028v2 · doi: 10.48550/arxiv.1110.3028 · pith_short_12: CMFBR5RZEY3C · pith_short_16: CMFBR5RZEY3CAKYF · pith_short_8: CMFBR5RZ

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/CMFBR5RZEY3CAKYFGJEMGRXMAS \
  | 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: 130a18f6392636202b053248c346ec048e6c9d768a2e1d34141120cbc8675fb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c232084c1fc3c4425bc69c8ae6adabfa5668b2ff67fff429215b469dfd57579c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-13T18:54:05Z",
    "title_canon_sha256": "1e07be3f46abafd1679b2dc4a62f53c32c9761e6cf3ce6e372eaf376ae001d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3028",
    "kind": "arxiv",
    "version": 2
  }
}