Pith Number

pith:TRJ73UPL

pith:2013:TRJ73UPLXMAEMQQXIVL3LSEF4F

not attested not anchored not stored refs pending

Symmetry, Isotopy, and Irregular Covers

Rebecca R. Winarski

arxiv:1309.3650 v1 · 2013-09-14 · 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{TRJ73UPLXMAEMQQXIVL3LSEF4F}

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	2026-05-18T03:13:20.824847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c53fdd1ebbb004642174557b5c885e15f33525e29b3b24c22727b7c127c6baa

Aliases

arxiv: 1309.3650 · arxiv_version: 1309.3650v1 · doi: 10.48550/arxiv.1309.3650 · pith_short_12: TRJ73UPLXMAE · pith_short_16: TRJ73UPLXMAEMQQX · pith_short_8: TRJ73UPL

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/TRJ73UPLXMAEMQQXIVL3LSEF4F \
  | 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: 9c53fdd1ebbb004642174557b5c885e15f33525e29b3b24c22727b7c127c6baa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42e22d23760e8b771d78cafec3120ed40a5a9fde2b5382296c15684823f54fb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-14T11:27:57Z",
    "title_canon_sha256": "c04029dc718fcc2afce3323670e476dbaefa339792ac02d8f55bef2eba3684e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3650",
    "kind": "arxiv",
    "version": 1
  }
}