Pith Number

pith:PJAJJTXK

pith:2013:PJAJJTXK4BF5GJVEVO4K4SOJVK

not attested not anchored not stored refs pending

Sofic profile and computability of Cremona groups

Yves Cornulier

arxiv:1305.0993 v1 · 2013-05-05 · math.GR · 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{PJAJJTXK4BF5GJVEVO4K4SOJVK}

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	2026-05-18T02:56:59.967689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a4094ceeae04bd326a4abb8ae49c9aaab5beb6cbc2dcb268404210725ea99e4

Aliases

arxiv: 1305.0993 · arxiv_version: 1305.0993v1 · doi: 10.48550/arxiv.1305.0993 · pith_short_12: PJAJJTXK4BF5 · pith_short_16: PJAJJTXK4BF5GJVE · pith_short_8: PJAJJTXK

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/PJAJJTXK4BF5GJVEVO4K4SOJVK \
  | 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: 7a4094ceeae04bd326a4abb8ae49c9aaab5beb6cbc2dcb268404210725ea99e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "068844ef943be808f5e25e0fa75deb50d40a9bb84e93ee58e10d344f3a9f31e1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-05T09:08:46Z",
    "title_canon_sha256": "12f7077a9a5212e572c727338660610d9d6ccec6f5cede7e737b1157d8ea7a6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0993",
    "kind": "arxiv",
    "version": 1
  }
}