Pith Number

pith:HQZFPCFX

pith:1999:HQZFPCFXUY4VRDB2ICLK762LQV

not attested not anchored not stored refs pending

Chromatic Polynomials and their Zeros and Asymptotic Limits for Families of Graphs

Robert Shrock

arxiv:cond-mat/9908387 v2 · 1999-08-26 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQZFPCFXUY4VRDB2ICLK762LQV}

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	2026-07-04T14:23:43.600071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c325788b7a639588c3a4096affb4b8564a879605faa0e7f02ff77cd71ce0c5a

Aliases

arxiv: cond-mat/9908387 · arxiv_version: cond-mat/9908387v2 · doi: 10.48550/arxiv.cond-mat/9908387 · pith_short_12: HQZFPCFXUY4V · pith_short_16: HQZFPCFXUY4VRDB2 · pith_short_8: HQZFPCFX

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/HQZFPCFXUY4VRDB2ICLK762LQV \
  | 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: 3c325788b7a639588c3a4096affb4b8564a879605faa0e7f02ff77cd71ce0c5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "003607f271514bc7878ac96c5160f704b6802d29458818bfbbbc786b577f1266",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1999-08-26T17:13:58Z",
    "title_canon_sha256": "771458a84c6948b34ea5f654ec69ad559d2a36739553593bfe21cf422aebada1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9908387",
    "kind": "arxiv",
    "version": 2
  }
}