Pith Number

pith:DO7QVJFF

pith:2023:DO7QVJFFR4LH5FEMTDIN2AFF2B

not attested not anchored not stored refs pending

Families of Harris Graphs

Douglas Shaw, Francesca Gandini, Shubhra Mishra

arxiv:2312.10936 v1 · 2023-12-18 · 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{DO7QVJFFR4LH5FEMTDIN2AFF2B}

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	2026-07-05T07:25:14.539197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bbf0aa4a58f167e948c98d0dd00a5d069632feb8e5fecd9fbaa396411099c9a

Aliases

arxiv: 2312.10936 · arxiv_version: 2312.10936v1 · doi: 10.48550/arxiv.2312.10936 · pith_short_12: DO7QVJFFR4LH · pith_short_16: DO7QVJFFR4LH5FEM · pith_short_8: DO7QVJFF

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/DO7QVJFFR4LH5FEMTDIN2AFF2B \
  | 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: 1bbf0aa4a58f167e948c98d0dd00a5d069632feb8e5fecd9fbaa396411099c9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d87538870f4b5507b360cb903ac1d703594f6f0eb668db62445deeec53ff41fb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-12-18T05:20:13Z",
    "title_canon_sha256": "4b7a45bf0ec74c42b5492efd3d99ed5b7c870f7912349f34e37139023203adb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.10936",
    "kind": "arxiv",
    "version": 1
  }
}