Pith Number

pith:FBS2FZPL

pith:2007:FBS2FZPL5ECYHGUFGQNGHMSDSQ

not attested not anchored not stored refs pending

Whitehead moves for G-trees

Matt Clay, Max Forester

arxiv:0710.2107 v2 · 2007-10-10 · 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{FBS2FZPL5ECYHGUFGQNGHMSDSQ}

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	2026-05-18T01:04:50.993872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2865a2e5ebe905839a85341a63b243943b6cc7c9d8dbfd45570b4a2d3d1b705a

Aliases

arxiv: 0710.2107 · arxiv_version: 0710.2107v2 · doi: 10.48550/arxiv.0710.2107 · pith_short_12: FBS2FZPL5ECY · pith_short_16: FBS2FZPL5ECYHGUF · pith_short_8: FBS2FZPL

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/FBS2FZPL5ECYHGUFGQNGHMSDSQ \
  | 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: 2865a2e5ebe905839a85341a63b243943b6cc7c9d8dbfd45570b4a2d3d1b705a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89063aa85f4a574999e953c4d8016bf7e5c6ed28d7a980cd8a46ed622532b027",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2007-10-10T20:42:28Z",
    "title_canon_sha256": "4bb472386a1ab8bf639d62bd3d410cbbac57d0808470d657ed20ac6a00cfbed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2107",
    "kind": "arxiv",
    "version": 2
  }
}