Pith Number

pith:PBCKLVJN

pith:2009:PBCKLVJNM4VQAO3WDZIWFLHJYF

not attested not anchored not stored refs pending

Topology of Hom complexes and test graphs for bounding chromatic number

Anton Dochtermann, Carsten Schultz

arxiv:0907.5079 v2 · 2009-07-29 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBCKLVJNM4VQAO3WDZIWFLHJYF}

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	2026-05-18T02:24:47.880682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7844a5d52d672b003b761e5162ace9c14d1e0f3c5b19d6c993e8539c1f6ff00c

Aliases

arxiv: 0907.5079 · arxiv_version: 0907.5079v2 · doi: 10.48550/arxiv.0907.5079 · pith_short_12: PBCKLVJNM4VQ · pith_short_16: PBCKLVJNM4VQAO3W · pith_short_8: PBCKLVJN

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/PBCKLVJNM4VQAO3WDZIWFLHJYF \
  | 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: 7844a5d52d672b003b761e5162ace9c14d1e0f3c5b19d6c993e8539c1f6ff00c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39120d1db68252fedfc0ae5743d4fb9ed84fca443d286a1862a19ce8d16b5294",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-07-29T09:37:31Z",
    "title_canon_sha256": "70a9aae76848ea0cbfe7157a99316283b46e03ba97b5b246d7bb3cd381b0a3af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5079",
    "kind": "arxiv",
    "version": 2
  }
}