Pith Number

pith:BFFPMXZS

pith:2011:BFFPMXZSG5RRNDEAR4AXMXOU4Z

not attested not anchored not stored refs pending

RAAGs in Ham

Michael Kapovich

arxiv:1104.0348 v2 · 2011-04-03 · math.SG · 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{BFFPMXZSG5RRNDEAR4AXMXOU4Z}

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	2026-05-18T04:11:41.701989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

094af65f323763168c808f01765dd4e65f4393c3dea28c65484144b73c762ac3

Aliases

arxiv: 1104.0348 · arxiv_version: 1104.0348v2 · doi: 10.48550/arxiv.1104.0348 · pith_short_12: BFFPMXZSG5RR · pith_short_16: BFFPMXZSG5RRNDEA · pith_short_8: BFFPMXZS

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/BFFPMXZSG5RRNDEAR4AXMXOU4Z \
  | 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: 094af65f323763168c808f01765dd4e65f4393c3dea28c65484144b73c762ac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e874292bcb6497783b486f047fb9e386ee3866857763d1260dd314c999964d54",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-04-03T03:22:37Z",
    "title_canon_sha256": "f4fc008c706d619ce8ba77c400b1e460f2ab0b7df16954bc62360e2f3a98723a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0348",
    "kind": "arxiv",
    "version": 2
  }
}