Pith Number

pith:MQWXDHGK

pith:2007:MQWXDHGKNZXY6VWVBQEDSON6FP

not attested not anchored not stored refs pending

Explicit enumeration of triangulations with multiple boundaries

Maxim Krikun (IECN)

arxiv:0706.0681 v2 · 2007-06-05 · 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{MQWXDHGKNZXY6VWVBQEDSON6FP}

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	2026-05-18T04:09:16.351228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

642d719cca6e6f8f56d50c083939be2bcb280bff4024cf3ad369b72479af5c41

Aliases

arxiv: 0706.0681 · arxiv_version: 0706.0681v2 · doi: 10.48550/arxiv.0706.0681 · pith_short_12: MQWXDHGKNZXY · pith_short_16: MQWXDHGKNZXY6VWV · pith_short_8: MQWXDHGK

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/MQWXDHGKNZXY6VWVBQEDSON6FP \
  | 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: 642d719cca6e6f8f56d50c083939be2bcb280bff4024cf3ad369b72479af5c41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38c1bbd3096188aeafb27f1a2c810df90ce06eb6153712fa8eaba621e8d68cb7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-06-05T15:01:41Z",
    "title_canon_sha256": "2d084fb0e7dbc8119b1d6d2fab978b0aa0840a55c67310ffc5f68323561c2cf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0681",
    "kind": "arxiv",
    "version": 2
  }
}