Pith Number

pith:IWIWNG25

pith:2015:IWIWNG254SLP6BKZVJZ3OI5TTY

not attested not anchored not stored refs pending

Chromatic Numbers of Simplicial Manifolds

Frank H. Lutz, Jesper M. M{\o}ller

arxiv:1503.08251 v3 · 2015-03-28 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWIWNG254SLP6BKZVJZ3OI5TTY}

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	2026-05-17T23:42:09.172056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4591669b5de496ff0559aa73b723b39e18ed4eff4844b94f6317fa6f355473c8

Aliases

arxiv: 1503.08251 · arxiv_version: 1503.08251v3 · doi: 10.48550/arxiv.1503.08251 · pith_short_12: IWIWNG254SLP · pith_short_16: IWIWNG254SLP6BKZ · pith_short_8: IWIWNG25

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/IWIWNG254SLP6BKZVJZ3OI5TTY \
  | 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: 4591669b5de496ff0559aa73b723b39e18ed4eff4844b94f6317fa6f355473c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9a6e1033023d900f3f3f8e3aa8760640bb805a9d73f277b949a427c3218e981",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-28T00:48:04Z",
    "title_canon_sha256": "3fc0688261856188cb8310dda3e1aaf92df8f6f900e24f6a9d951a373d54cfdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08251",
    "kind": "arxiv",
    "version": 3
  }
}