Pith Number

pith:7EAQR2FL

pith:2013:7EAQR2FLFW2WJXCGYCL64QFI45

not attested not anchored not stored refs pending

Similar relatively hyperbolic actions of a group

Leonid Potyagailo, Victor Gerasimov

arxiv:1305.6649 v3 · 2013-05-28 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7EAQR2FLFW2WJXCGYCL64QFI45}

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	2026-05-18T02:55:59.007678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f90108e8ab2db564dc46c097ee40a8e74598f47b44caf1299c7ea4357e463ad3

Aliases

arxiv: 1305.6649 · arxiv_version: 1305.6649v3 · doi: 10.48550/arxiv.1305.6649 · pith_short_12: 7EAQR2FLFW2W · pith_short_16: 7EAQR2FLFW2WJXCG · pith_short_8: 7EAQR2FL

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/7EAQR2FLFW2WJXCGYCL64QFI45 \
  | 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: f90108e8ab2db564dc46c097ee40a8e74598f47b44caf1299c7ea4357e463ad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40943f7582712e067656c98b3d12ee729ef1a12c76709d8fd2cb4e272e2265f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-28T22:40:23Z",
    "title_canon_sha256": "cee19343a362e4d59a42a5cb3d6ce43342a2e07cc4b7a0dafa96c8547a38e938"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6649",
    "kind": "arxiv",
    "version": 3
  }
}