Pith Number

pith:3IGKMW36

pith:2025:3IGKMW36X24Q6D5EEPE2CVBRTX

not attested not anchored not stored refs pending

Flip-graphs of non-orientable filling surfaces

Hugo Parlier, Lionel Pournin, Pallavi Panda

arxiv:2505.04074 v1 · 2025-05-07 · 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{3IGKMW36X24Q6D5EEPE2CVBRTX}

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	2026-07-05T10:59:36.001074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da0ca65b7ebeb90f0fa423c9a154319ddc9d3eaa3c6ce7f680318f3f8dbdbe5e

Aliases

arxiv: 2505.04074 · arxiv_version: 2505.04074v1 · doi: 10.48550/arxiv.2505.04074 · pith_short_12: 3IGKMW36X24Q · pith_short_16: 3IGKMW36X24Q6D5E · pith_short_8: 3IGKMW36

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/3IGKMW36X24Q6D5EEPE2CVBRTX \
  | 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: da0ca65b7ebeb90f0fa423c9a154319ddc9d3eaa3c6ce7f680318f3f8dbdbe5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "976da0625efcf32c3a13821668f726c0eec2334f9ee4e3dac6e8842e8c511963",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-05-07T02:25:45Z",
    "title_canon_sha256": "76a54cc79c14de209509aa0d6c3b5f31e39d2d5a5032a43a6cc5313b36d10ff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04074",
    "kind": "arxiv",
    "version": 1
  }
}