Pith Number

pith:I43TETTE

pith:2016:I43TETTETSVNWHKGSYRZEIVDKV

not attested not anchored not stored refs pending

On the number of solutions in random graph $k$-colouring

Felicia Rassmann

arxiv:1609.04191 v1 · 2016-09-14 · 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{I43TETTETSVNWHKGSYRZEIVDKV}

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	2026-05-18T01:04:38.677423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4737324e649caadb1d4696239222a35578982095d46172dabc138ea251a31dbd

Aliases

arxiv: 1609.04191 · arxiv_version: 1609.04191v1 · doi: 10.48550/arxiv.1609.04191 · pith_short_12: I43TETTETSVN · pith_short_16: I43TETTETSVNWHKG · pith_short_8: I43TETTE

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/I43TETTETSVNWHKGSYRZEIVDKV \
  | 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: 4737324e649caadb1d4696239222a35578982095d46172dabc138ea251a31dbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53e01daeb661828b5032e0ee4e4f2258ea1162d11de221adc0bd2323eba0be66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-14T09:40:27Z",
    "title_canon_sha256": "8befb1fb1ea4ab4cbba2a700f5e5f7b4bb825e063f85c93a200cbd1ae5ffc79d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04191",
    "kind": "arxiv",
    "version": 1
  }
}