Pith Number

pith:UA6QFGZ6

pith:2022:UA6QFGZ6I72VDWHBSXPQLCXGDH

not attested not anchored not stored refs pending

New conjectures on algebraic connectivity and the Laplacian spread of graphs

Emily Evans, H. Tracy Hall, Mark Kempton, Wayne Barrett

arxiv:2201.04225 v1 · 2022-01-11 · 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{UA6QFGZ6I72VDWHBSXPQLCXGDH}

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	2026-07-05T03:47:57.949607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a03d029b3e47f551d8e195df058ae619d65a26e62ca84626ef23c43b986e3095

Aliases

arxiv: 2201.04225 · arxiv_version: 2201.04225v1 · doi: 10.48550/arxiv.2201.04225 · pith_short_12: UA6QFGZ6I72V · pith_short_16: UA6QFGZ6I72VDWHB · pith_short_8: UA6QFGZ6

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/UA6QFGZ6I72VDWHBSXPQLCXGDH \
  | 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: a03d029b3e47f551d8e195df058ae619d65a26e62ca84626ef23c43b986e3095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7673c66874a0708019fcab8286af178b9d9420fcd2f3a14002f2c285e166ae8d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-01-11T22:45:28Z",
    "title_canon_sha256": "062337798e6e779b44d960cd12d62ca6e05171b421d7520c28515d04c7c2fe20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.04225",
    "kind": "arxiv",
    "version": 1
  }
}