Pith Number

pith:PKT3VDTG

pith:2005:PKT3VDTG7FWQFQQIQJP62O5MKC

not attested not anchored not stored refs pending

On generalized Kneser hypergraph colorings

Carsten Lange, Guenter M. Ziegler

arxiv:math/0504607 v2 · 2005-04-29 · 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{PKT3VDTG7FWQFQQIQJP62O5MKC}

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	2026-05-18T03:57:25.582925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aa7ba8e66f96d02c208825fed3bac50b01603a19937701ef5f6a3aec68ee18e

Aliases

arxiv: math/0504607 · arxiv_version: math/0504607v2 · doi: 10.48550/arxiv.math/0504607 · pith_short_12: PKT3VDTG7FWQ · pith_short_16: PKT3VDTG7FWQFQQI · pith_short_8: PKT3VDTG

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/PKT3VDTG7FWQFQQIQJP62O5MKC \
  | 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: 7aa7ba8e66f96d02c208825fed3bac50b01603a19937701ef5f6a3aec68ee18e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e0890293ae7e140068a857bc82722121758fcfa50fd80e6822dafd6a8210296",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-04-29T19:51:43Z",
    "title_canon_sha256": "7af60f13fd874bd35a92ef32e9cd914bdb81d16968b6a3d96b7ac4ebdaa1703d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504607",
    "kind": "arxiv",
    "version": 2
  }
}