Pith Number

pith:B5SD4P44

pith:2007:B5SD4P44GVPNAILOZ535WWOYIZ

not attested not anchored not stored refs pending

The structure of one-relator relative presentations and their centres

Anton A. Klyachko

arxiv:math/0701308 v4 · 2007-01-10 · 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{B5SD4P44GVPNAILOZ535WWOYIZ}

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	2026-05-18T03:41:44.376920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f643e3f9c355ed0216ecf77db59d8464641ed5f726794596b3b47f7a5eab29a

Aliases

arxiv: math/0701308 · arxiv_version: math/0701308v4 · doi: 10.48550/arxiv.math/0701308 · pith_short_12: B5SD4P44GVPN · pith_short_16: B5SD4P44GVPNAILO · pith_short_8: B5SD4P44

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/B5SD4P44GVPNAILOZ535WWOYIZ \
  | 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: 0f643e3f9c355ed0216ecf77db59d8464641ed5f726794596b3b47f7a5eab29a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a8895f49de39e736424d42dbadab3bbba975730a73e69f93463f4c7a295a5c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2007-01-10T20:13:13Z",
    "title_canon_sha256": "1465ca21e5f5dce8ca8b70cfb7f06a4a5142401f26442a7ea0a4d1bb51fce293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701308",
    "kind": "arxiv",
    "version": 4
  }
}