Pith Number

pith:YDIV3ZZM

pith:2015:YDIV3ZZMZPB2DEWBVBKN74723M

not attested not anchored not stored refs pending

Modular flip-graphs of one holed surfaces

Hugo Parlier, Lionel Pournin

arxiv:1510.07664 v1 · 2015-10-26 · 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{YDIV3ZZMZPB2DEWBVBKN74723M}

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	2026-05-18T00:36:14.515820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0d15de72ccbc3a192c1a854dff3fadb102f7340734a5d36871fc5137188e6ef

Aliases

arxiv: 1510.07664 · arxiv_version: 1510.07664v1 · doi: 10.48550/arxiv.1510.07664 · pith_short_12: YDIV3ZZMZPB2 · pith_short_16: YDIV3ZZMZPB2DEWB · pith_short_8: YDIV3ZZM

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/YDIV3ZZMZPB2DEWBVBKN74723M \
  | 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: c0d15de72ccbc3a192c1a854dff3fadb102f7340734a5d36871fc5137188e6ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e45d5e1d62de5d5ddaebbf2ebeb296464c22333745672b89fe54b657d46696f5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-10-26T20:27:32Z",
    "title_canon_sha256": "6adaabbe7af29f65f17e3ecfe8d79506f30cf1f657605b2f2ec78581f8dd611f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07664",
    "kind": "arxiv",
    "version": 1
  }
}