Pith Number

pith:MCAIZMH2

pith:2016:MCAIZMH2K2MXMSFHNW7D5HKAND

not attested not anchored not stored refs pending

Coloring connections with counting mountain-valley assignments

Thomas C. Hull

arxiv:1601.02727 v1 · 2016-01-12 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCAIZMH2K2MXMSFHNW7D5HKAND}

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	2026-05-18T01:22:57.069427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60808cb0fa56997648a76dbe3e9d4068ecd17cd706cf779074680dbd61e89526

Aliases

arxiv: 1601.02727 · arxiv_version: 1601.02727v1 · doi: 10.48550/arxiv.1601.02727 · pith_short_12: MCAIZMH2K2MX · pith_short_16: MCAIZMH2K2MXMSFH · pith_short_8: MCAIZMH2

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/MCAIZMH2K2MXMSFHNW7D5HKAND \
  | 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: 60808cb0fa56997648a76dbe3e9d4068ecd17cd706cf779074680dbd61e89526

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b7df422efd52de09d769ddb3e144b2555eb99b02a017e6ab8e077155e7c0cdf",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-12T04:29:13Z",
    "title_canon_sha256": "bcdd356aa553110948c8197ff183c516553d28a3efbfd382abef11251b125d4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02727",
    "kind": "arxiv",
    "version": 1
  }
}