Pith Number

pith:ARQFTVND

pith:2012:ARQFTVNDJQN53VWLEJPXAD7QVN

not attested not anchored not stored refs pending

Recognizing geometric 3-manifold groups using the word problem

Daniel Groves, Henry Wilton, Jason Fox Manning

arxiv:1210.2101 v1 · 2012-10-07 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ARQFTVNDJQN53VWLEJPXAD7QVN}

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	2026-05-18T03:43:51.096310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

046059d5a34c1bddd6cb225f700ff0ab4142f4aaf442ad2646beb008c84b8e5e

Aliases

arxiv: 1210.2101 · arxiv_version: 1210.2101v1 · doi: 10.48550/arxiv.1210.2101 · pith_short_12: ARQFTVNDJQN5 · pith_short_16: ARQFTVNDJQN53VWL · pith_short_8: ARQFTVND

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/ARQFTVNDJQN53VWLEJPXAD7QVN \
  | 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: 046059d5a34c1bddd6cb225f700ff0ab4142f4aaf442ad2646beb008c84b8e5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26bd3c5564a9832612efaa4853b8b5805b07d77e1a000289f79d4f2db1f2b732",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-10-07T20:20:46Z",
    "title_canon_sha256": "9f047c96716512945793aa4ccce612fe2a322da25a5a23f196fc5ec32b475d0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2101",
    "kind": "arxiv",
    "version": 1
  }
}