Pith Number

pith:NUMZAJPM

pith:2011:NUMZAJPMG64ZCRBMOQULGXO3X3

not attested not anchored not stored refs pending

Hypergraph Coloring Complexes

Aaron Dall, Felix Breuer, Martina Kubitzke

arxiv:1104.0483 v3 · 2011-04-04 · 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{NUMZAJPMG64ZCRBMOQULGXO3X3}

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	2026-05-18T03:56:46.283496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d199025ec37b991442c7428b35ddbbee509f031ca768bb25cd553f0ca6c4c7f

Aliases

arxiv: 1104.0483 · arxiv_version: 1104.0483v3 · doi: 10.48550/arxiv.1104.0483 · pith_short_12: NUMZAJPMG64Z · pith_short_16: NUMZAJPMG64ZCRBM · pith_short_8: NUMZAJPM

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/NUMZAJPMG64ZCRBMOQULGXO3X3 \
  | 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: 6d199025ec37b991442c7428b35ddbbee509f031ca768bb25cd553f0ca6c4c7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5531fc4b25d8648df63ed31acce814a1debde89cf10839832dfb0892b7521d2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-04T07:45:43Z",
    "title_canon_sha256": "32b2002703bf18f347b67c5ff1ca4e57dcfe7c94cb36012af890bc61e2c5f25d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0483",
    "kind": "arxiv",
    "version": 3
  }
}