Pith Number

pith:ATT3AZBI

pith:2023:ATT3AZBI5AC4M2KZUUGYII6D5P

not attested not anchored not stored refs pending

Algorithms for Computing Invariants of Trisected Branched Covers

Benjamin Ruppik, Gordana Matic, Patricia Cahn

arxiv:2308.11689 v1 · 2023-08-22 · 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{ATT3AZBI5AC4M2KZUUGYII6D5P}

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.

Cited by

1 paper in Pith

Equivariant trisections for group actions on four-manifolds

Receipt and verification

First computed	2026-07-05T06:43:53.552653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04e7b06428e805c66959a50d8423c3ebe29e4ba648a7d931a501634fe3a834f3

Aliases

arxiv: 2308.11689 · arxiv_version: 2308.11689v1 · doi: 10.48550/arxiv.2308.11689 · pith_short_12: ATT3AZBI5AC4 · pith_short_16: ATT3AZBI5AC4M2KZ · pith_short_8: ATT3AZBI

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/ATT3AZBI5AC4M2KZUUGYII6D5P \
  | 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: 04e7b06428e805c66959a50d8423c3ebe29e4ba648a7d931a501634fe3a834f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "599f05bf00c71ee9db9895c0a048c759cfd59903c3f01012189afc3a00adaf0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-08-22T16:33:09Z",
    "title_canon_sha256": "3925c0fa370098472c8d193ada14c40c29db1be1765b2c145330c811a6136360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.11689",
    "kind": "arxiv",
    "version": 1
  }
}