Pith Number

pith:VG2Y7L2K

pith:2024:VG2Y7L2KRPIJI65EVGOO25TWL3

not attested not anchored not stored refs pending

A Ricci flow on graphs from effective resistance

Aleyah Dawkins, Harry Richman, Jeremy Quail, Mark Kempton, Vishal Gupta, William Linz, Zachary Stier

arxiv:2403.01151 v1 · 2024-03-02 · math.CO · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VG2Y7L2KRPIJI65EVGOO25TWL3}

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	2026-07-05T07:51:42.905476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9b58faf4a8bd0947ba4a99ced76765ee2c54645c2540f02275e8f55a9041e9e

Aliases

arxiv: 2403.01151 · arxiv_version: 2403.01151v1 · doi: 10.48550/arxiv.2403.01151 · pith_short_12: VG2Y7L2KRPIJ · pith_short_16: VG2Y7L2KRPIJI65E · pith_short_8: VG2Y7L2K

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/VG2Y7L2KRPIJI65EVGOO25TWL3 \
  | 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: a9b58faf4a8bd0947ba4a99ced76765ee2c54645c2540f02275e8f55a9041e9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e0d46181f1fb86a99b7b4894c406fb80ad1391af9ddc12be50ef100fe49bd49",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-03-02T09:37:55Z",
    "title_canon_sha256": "bf3f8b82d664c30fbb9245fec3f14a4c3179e495dc152c7d6a06a73c93d9c875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.01151",
    "kind": "arxiv",
    "version": 1
  }
}