Pith Number

pith:KCGXKL3E

pith:2013:KCGXKL3E4VQ6FKCPQTXPVLFSHY

not attested not anchored not stored refs pending

Embeddings into Thompson's group $V$ and $co\mathcal{CF}$ groups

Collin Bleak, Francesco Matucci, Max Neunh\"offer

arxiv:1312.1855 v1 · 2013-12-06 · 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{KCGXKL3E4VQ6FKCPQTXPVLFSHY}

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	2026-05-18T00:44:29.289608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

508d752f64e561e2a84f84eefaacb23e2c8c167310883542f3efa12aaaebae12

Aliases

arxiv: 1312.1855 · arxiv_version: 1312.1855v1 · doi: 10.48550/arxiv.1312.1855 · pith_short_12: KCGXKL3E4VQ6 · pith_short_16: KCGXKL3E4VQ6FKCP · pith_short_8: KCGXKL3E

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/KCGXKL3E4VQ6FKCPQTXPVLFSHY \
  | 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: 508d752f64e561e2a84f84eefaacb23e2c8c167310883542f3efa12aaaebae12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "418571b831cea55cba51e2c201130f10355bf05e0b52ba80463410ae83085c84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-06T13:33:00Z",
    "title_canon_sha256": "9eaa91c8c9a64ced111059dd0003538c82686dde16ab2cef4475aeafc68a76e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1855",
    "kind": "arxiv",
    "version": 1
  }
}