Pith Number

pith:BLOXVD4F

pith:2024:BLOXVD4FZ3I4ENF7SQ74GG5PFI

not attested not anchored not stored refs pending

Random Dehn function of groups

Antoine Goldsborough, Jer\'onimo Garc\'ia-Mej\'ia

arxiv:2411.12715 v2 · 2024-11-19 · math.GR · math.MG · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLOXVD4FZ3I4ENF7SQ74GG5PFI}

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	2026-07-05T11:56:51.111076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0add7a8f85ced1c234bf943fc31baf2a10821b912c7aea1a13cfb614173166a9

Aliases

arxiv: 2411.12715 · arxiv_version: 2411.12715v2 · doi: 10.48550/arxiv.2411.12715 · pith_short_12: BLOXVD4FZ3I4 · pith_short_16: BLOXVD4FZ3I4ENF7 · pith_short_8: BLOXVD4F

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/BLOXVD4FZ3I4ENF7SQ74GG5PFI \
  | 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: 0add7a8f85ced1c234bf943fc31baf2a10821b912c7aea1a13cfb614173166a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8324e525d918f1ae7b0e65499a619956696786800ba8a532004fa9a1908d9dc2",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-11-19T18:34:10Z",
    "title_canon_sha256": "061a853464116372143c17be85146fb9ec74750c37e02c6008385c2b944984ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.12715",
    "kind": "arxiv",
    "version": 2
  }
}