Pith Number

pith:GIWG5XBS

pith:2015:GIWG5XBSOTAUSDUWGRNUFXRC3C

not attested not anchored not stored refs pending

Words in Linear Groups, Random Walks, Automata and P-Recursiveness

Igor Pak, Scott Garrabrant

arxiv:1502.06565 v1 · 2015-02-23 · math.CO · 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{GIWG5XBSOTAUSDUWGRNUFXRC3C}

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	2026-05-18T02:26:29.637986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

322c6edc3274c1490e96345b42de22d8a569e1ac29cb20dc7d719c543cdaec38

Aliases

arxiv: 1502.06565 · arxiv_version: 1502.06565v1 · doi: 10.48550/arxiv.1502.06565 · pith_short_12: GIWG5XBSOTAU · pith_short_16: GIWG5XBSOTAUSDUW · pith_short_8: GIWG5XBS

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/GIWG5XBSOTAUSDUWGRNUFXRC3C \
  | 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: 322c6edc3274c1490e96345b42de22d8a569e1ac29cb20dc7d719c543cdaec38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fc42055c5150c9ac659b57e4d4ca3c622bbb94a275a515720efd6695fa1501e",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-23T19:27:57Z",
    "title_canon_sha256": "8917a3ca4f34d3e264269cb89aee0026624a5d8800e9bf04b1ccf774aa50057c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06565",
    "kind": "arxiv",
    "version": 1
  }
}