Pith Number

pith:JPV6GFGR

pith:2013:JPV6GFGRPAHWWS7Z7LOZEATMJE

not attested not anchored not stored refs pending

Random sampling of trivials words in finitely presented groups

A. Rechnitzer, E. J. Janse van Rensburg, M. Elder

arxiv:1312.5722 v2 · 2013-12-19 · math.GR · 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{JPV6GFGRPAHWWS7Z7LOZEATMJE}

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	2026-05-18T03:04:07.966292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bebe314d1780f6b4bf9fadd92026c49110c11f25bc3aa3bc1cb0f6c6930a65e

Aliases

arxiv: 1312.5722 · arxiv_version: 1312.5722v2 · doi: 10.48550/arxiv.1312.5722 · pith_short_12: JPV6GFGRPAHW · pith_short_16: JPV6GFGRPAHWWS7Z · pith_short_8: JPV6GFGR

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/JPV6GFGRPAHWWS7Z7LOZEATMJE \
  | 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: 4bebe314d1780f6b4bf9fadd92026c49110c11f25bc3aa3bc1cb0f6c6930a65e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b36f4b7fb37c7e855d1d6c08d83a823fb6c24334366c3f0fef3eff99785ab535",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-19T20:19:19Z",
    "title_canon_sha256": "05e5f23ec242037039eabc30acf2ec2df17b07aaf705c95a57635d164c01c3f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5722",
    "kind": "arxiv",
    "version": 2
  }
}