Pith Number

pith:ASTC2GR4

pith:2011:ASTC2GR4BVZQKX7I5YS73ISKLI

not attested not anchored not stored refs pending

Groups with poly-context-free word problem

Tara Brough

arxiv:1104.1806 v1 · 2011-04-10 · math.GR · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASTC2GR4BVZQKX7I5YS73ISKLI}

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	2026-05-18T01:30:49.614843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a62d1a3c0d73055fe8ee25fda24a5a18c48ada79968a6ed7bc7c4c35ed6675

Aliases

arxiv: 1104.1806 · arxiv_version: 1104.1806v1 · doi: 10.48550/arxiv.1104.1806 · pith_short_12: ASTC2GR4BVZQ · pith_short_16: ASTC2GR4BVZQKX7I · pith_short_8: ASTC2GR4

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/ASTC2GR4BVZQKX7I5YS73ISKLI \
  | 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: 04a62d1a3c0d73055fe8ee25fda24a5a18c48ada79968a6ed7bc7c4c35ed6675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "953060ad6aeac9b6a04e7a0cbc7bfdc0385a80da485f44a5620da68441e034de",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-04-10T22:26:55Z",
    "title_canon_sha256": "67b41ef6f1786732487bbd74310a41dc1d879eead40da0c84d064b78b6681fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1806",
    "kind": "arxiv",
    "version": 1
  }
}