Pith Number

pith:XUJQTSRP

pith:2019:XUJQTSRPCHP7KU626XITCVVEAY

not attested not anchored not stored refs pending

Generalized chromatic polynomials of graphs from Heaps of pieces

G Arunkumar

arxiv:1907.08864 v1 · 2019-07-20 · 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{XUJQTSRPCHP7KU626XITCVVEAY}

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	2026-05-17T23:40:02.959210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd1309ca2f11dff553daf5d13156a4061b0a3c1292fa75ee1f91c091c664ce32

Aliases

arxiv: 1907.08864 · arxiv_version: 1907.08864v1 · doi: 10.48550/arxiv.1907.08864 · pith_short_12: XUJQTSRPCHP7 · pith_short_16: XUJQTSRPCHP7KU62 · pith_short_8: XUJQTSRP

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/XUJQTSRPCHP7KU626XITCVVEAY \
  | 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: bd1309ca2f11dff553daf5d13156a4061b0a3c1292fa75ee1f91c091c664ce32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "846fbb58ba6086a2dfa5e0357826504174c1a1d6cf888e637d4e636855fb0046",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-20T20:05:43Z",
    "title_canon_sha256": "3083ffc544d431af14edd12bd5d743399499056b43532bd42582318c59c0707e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08864",
    "kind": "arxiv",
    "version": 1
  }
}