Pith Number

pith:D72VYLAI

pith:2011:D72VYLAI2QIPI5JWKM6HXLE3HJ

not attested not anchored not stored refs pending

The rhombic dodecahedron and semisimple actions of Aut(F_n) on CAT(0) spaces

Martin R. Bridson

arxiv:1102.5664 v1 · 2011-02-28 · math.GT · 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{D72VYLAI2QIPI5JWKM6HXLE3HJ}

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	2026-05-18T04:27:46.319287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ff55c2c08d410f47536533c7bac9b3a4887ff8cdefc0d3a5e26da3b75ce12a0

Aliases

arxiv: 1102.5664 · arxiv_version: 1102.5664v1 · doi: 10.48550/arxiv.1102.5664 · pith_short_12: D72VYLAI2QIP · pith_short_16: D72VYLAI2QIPI5JW · pith_short_8: D72VYLAI

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/D72VYLAI2QIPI5JWKM6HXLE3HJ \
  | 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: 1ff55c2c08d410f47536533c7bac9b3a4887ff8cdefc0d3a5e26da3b75ce12a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e49cc6c146e8db54bfd1098347d8c2f0250fdef096ef86e5608a2b0af9f91d35",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-28T14:07:30Z",
    "title_canon_sha256": "d7d3e74601f79cdca841be9ba960997176b4045dbbf01993390a6a4f66eb9172"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5664",
    "kind": "arxiv",
    "version": 1
  }
}