Pith Number

pith:IUJPD7BQ

pith:2018:IUJPD7BQMMN7FQFP4B7O23WGXX

not attested not anchored not stored refs pending

Chromatic roots at 2 and at the Beraha number $B_{10}$

Daniel J. Harvey, Gordon F. Royle

arxiv:1807.08397 v1 · 2018-07-23 · 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{IUJPD7BQMMN7FQFP4B7O23WGXX}

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	2026-05-18T00:10:08.146087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4512f1fc30631bf2c0afe07eed6ec6bdc23d61d4d98a898421573a9889626b24

Aliases

arxiv: 1807.08397 · arxiv_version: 1807.08397v1 · doi: 10.48550/arxiv.1807.08397 · pith_short_12: IUJPD7BQMMN7 · pith_short_16: IUJPD7BQMMN7FQFP · pith_short_8: IUJPD7BQ

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/IUJPD7BQMMN7FQFP4B7O23WGXX \
  | 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: 4512f1fc30631bf2c0afe07eed6ec6bdc23d61d4d98a898421573a9889626b24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e7822d370a26ca795edd2d6e92f646e11fd2634690105751cea39acd13150c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-23T01:45:46Z",
    "title_canon_sha256": "661e1b425144782361954d2b02ace13737e4503b22f1e8400fdab849a799289c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08397",
    "kind": "arxiv",
    "version": 1
  }
}