Pith Number

pith:UQTHFNPB

pith:2025:UQTHFNPBMC4QIHJQRXEMRXYOMC

not attested not anchored not stored refs pending

Counting Equilibria of the Electrostatic Potential

Christopher Fillmore, Gon\c{c}alo Oliveira, Herbert Edelsbrunner

arxiv:2501.05315 v2 · 2025-01-09 · cs.CG · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UQTHFNPBMC4QIHJQRXEMRXYOMC}

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	2026-07-05T10:36:34.265783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a42672b5e160b9041d308dc8c8df0e609eb0194bc68d20946ce3625967eed730

Aliases

arxiv: 2501.05315 · arxiv_version: 2501.05315v2 · doi: 10.48550/arxiv.2501.05315 · pith_short_12: UQTHFNPBMC4Q · pith_short_16: UQTHFNPBMC4QIHJQ · pith_short_8: UQTHFNPB

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/UQTHFNPBMC4QIHJQRXEMRXYOMC \
  | 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: a42672b5e160b9041d308dc8c8df0e609eb0194bc68d20946ce3625967eed730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecc79dcf8b508de50f6ee300009f478e1caae39619b8ad10cd776bd1c0bdaaf4",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2025-01-09T15:33:23Z",
    "title_canon_sha256": "3a2f0f7c93ca9b4f12e909edc87955dbafef1c52a11911f6f9c303f05166977a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.05315",
    "kind": "arxiv",
    "version": 2
  }
}