Pith Number

pith:M2644FAX

pith:2013:M2644FAXVEEQ245L6N3QJYCBRV

not attested not anchored not stored refs pending

Jordan property for groups of birational selfmaps

Constantin Shramov, Yuri Prokhorov

arxiv:1307.1784 v4 · 2013-07-06 · 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{M2644FAXVEEQ245L6N3QJYCBRV}

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	2026-05-17T23:53:15.292932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66bdce1417a9090d73abf37704e0418d7beca5db275c5f1dd093a5601f99c7fa

Aliases

arxiv: 1307.1784 · arxiv_version: 1307.1784v4 · doi: 10.48550/arxiv.1307.1784 · pith_short_12: M2644FAXVEEQ · pith_short_16: M2644FAXVEEQ245L · pith_short_8: M2644FAX

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/M2644FAXVEEQ245L6N3QJYCBRV \
  | 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: 66bdce1417a9090d73abf37704e0418d7beca5db275c5f1dd093a5601f99c7fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0191579191c4775ce416c818f1d3097aaec1ed23b1c4e550e907d8128561b648",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-06T13:50:23Z",
    "title_canon_sha256": "7e5dafcbf72da75232c0d94d13682bd0b812a73b91f088b0881bb1728db4b7cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1784",
    "kind": "arxiv",
    "version": 4
  }
}