Pith Number

pith:AAJT35DD

pith:2015:AAJT35DDUYZWPP4ABXSKROZN2K

not attested not anchored not stored refs pending

On the roots of hypergraph chromatic polynomials

Sukhada Fadnavis

arxiv:1509.05950 v1 · 2015-09-20 · 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{AAJT35DDUYZWPP4ABXSKROZN2K}

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	2026-05-18T01:32:36.286918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00133df463a63367bf800de4a8bb2dd2b6b00b6cdcd6b3c142da3fe88d88a8a1

Aliases

arxiv: 1509.05950 · arxiv_version: 1509.05950v1 · doi: 10.48550/arxiv.1509.05950 · pith_short_12: AAJT35DDUYZW · pith_short_16: AAJT35DDUYZWPP4A · pith_short_8: AAJT35DD

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/AAJT35DDUYZWPP4ABXSKROZN2K \
  | 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: 00133df463a63367bf800de4a8bb2dd2b6b00b6cdcd6b3c142da3fe88d88a8a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1d1fe219abdb7b8be883019d8232de0b8814e2020b34ca0b3ae9201c8b7f8a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-20T00:15:09Z",
    "title_canon_sha256": "f9cb18f6bda4652ccfe17d507793397e59aa79f931a523273f8d9d38c26a8acf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05950",
    "kind": "arxiv",
    "version": 1
  }
}