Pith Number

pith:5KVXKU6Q

pith:2009:5KVXKU6QYAX3AUTXC5L4VY3J3L

not attested not anchored not stored refs pending

Orbit Equivalence and actions of F_n

Asger Tornquist

arxiv:0912.1506 v2 · 2009-12-08 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KVXKU6QYAX3AUTXC5L4VY3J3L}

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	2026-05-18T04:07:29.454648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaab7553d0c02fb052771757cae369dad19e89c83d322c97a74ae4acdff84998

Aliases

arxiv: 0912.1506 · arxiv_version: 0912.1506v2 · doi: 10.48550/arxiv.0912.1506 · pith_short_12: 5KVXKU6QYAX3 · pith_short_16: 5KVXKU6QYAX3AUTX · pith_short_8: 5KVXKU6Q

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/5KVXKU6QYAX3AUTXC5L4VY3J3L \
  | 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: eaab7553d0c02fb052771757cae369dad19e89c83d322c97a74ae4acdff84998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a49826bebe79ee8f22c1a1d7a548950dedc6a1db82f258b13c6b6db9c8b4830e",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-12-08T14:30:56Z",
    "title_canon_sha256": "03387a358995d40ed5bda0c366ff4a8007c3acc09b33a3bb3106475596a6e1ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1506",
    "kind": "arxiv",
    "version": 2
  }
}