Pith Number

pith:EFYJYRFU

pith:2008:EFYJYRFU2ECKYMZSCMXAGCUBFY

not attested not anchored not stored refs pending

Schreier rewriting beyond the classical setting

Alexander Olshanskii, Yuri Bahturin

arxiv:0811.1336 v1 · 2008-11-09 · math.RA · 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{EFYJYRFU2ECKYMZSCMXAGCUBFY}

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	2026-05-18T02:15:21.781340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21709c44b4d104ac3332132e030a812e3295ae17807d7370df0d74471fbd1b0b

Aliases

arxiv: 0811.1336 · arxiv_version: 0811.1336v1 · doi: 10.48550/arxiv.0811.1336 · pith_short_12: EFYJYRFU2ECK · pith_short_16: EFYJYRFU2ECKYMZS · pith_short_8: EFYJYRFU

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/EFYJYRFU2ECKYMZSCMXAGCUBFY \
  | 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: 21709c44b4d104ac3332132e030a812e3295ae17807d7370df0d74471fbd1b0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2b807d3998379e348b480b6d83e3d8324791842d43638ad0fd2e936f7905283",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-11-09T13:27:50Z",
    "title_canon_sha256": "6017cdd94dd691c0a0bfb7bbbecfea7cca12b9d22973233e9cc08af0f75ec980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1336",
    "kind": "arxiv",
    "version": 1
  }
}