Pith Number

pith:UIEHQIHU

pith:2025:UIEHQIHU7YNUTXFKGBRCBWEWP4

not attested not anchored not stored refs pending

Combinatorial Characterizations and Branched Manifolds

Daryl Cooper, Leslie Mavrakis, Priyam Patel

arxiv:2510.06514 v2 · 2025-10-07 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UIEHQIHU7YNUTXFKGBRCBWEWP4}

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	2026-06-19T16:12:15.616196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2087820f4fe1b49dcaa306220d8967f3aed3f31b92c18947867c275e0f78d66

Aliases

arxiv: 2510.06514 · arxiv_version: 2510.06514v2 · doi: 10.48550/arxiv.2510.06514 · pith_short_12: UIEHQIHU7YNU · pith_short_16: UIEHQIHU7YNUTXFK · pith_short_8: UIEHQIHU

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/UIEHQIHU7YNUTXFKGBRCBWEWP4 \
  | 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: a2087820f4fe1b49dcaa306220d8967f3aed3f31b92c18947867c275e0f78d66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd815b5ec5272684f3999968b1ef3245c9d7e2b82e7f898ab4bde2882af4f35",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-10-07T23:11:07Z",
    "title_canon_sha256": "43f42153a1ee88c644a6a8a46ca5250cb8be0746a590a10cc2a3e0fa2a2a1b49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.06514",
    "kind": "arxiv",
    "version": 2
  }
}