Pith Number

pith:KMOR3QXW

pith:2015:KMOR3QXWN7UHSXPTEH3KSMNOMV

not attested not anchored not stored refs pending

An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus

Felix Otto, Jianfeng Lu

arxiv:1508.07172 v1 · 2015-08-28 · math.AP · math-ph · 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{KMOR3QXWN7UHSXPTEH3KSMNOMV}

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	2026-05-18T01:34:36.709202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

531d1dc2f66fe8795df321f6a931ae657c3ac404afd259307a97cce0a5d47f4d

Aliases

arxiv: 1508.07172 · arxiv_version: 1508.07172v1 · doi: 10.48550/arxiv.1508.07172 · pith_short_12: KMOR3QXWN7UH · pith_short_16: KMOR3QXWN7UHSXPT · pith_short_8: KMOR3QXW

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/KMOR3QXWN7UHSXPTEH3KSMNOMV \
  | 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: 531d1dc2f66fe8795df321f6a931ae657c3ac404afd259307a97cce0a5d47f4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ea062df53388d37f10c32e42ab46564ba9ced97fd3823d6340199c9f6c1829",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-28T12:00:15Z",
    "title_canon_sha256": "90200ac1d16cf26ca7b43be0d31bebbf105e6ba7706b2d94de885ad55d319562"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07172",
    "kind": "arxiv",
    "version": 1
  }
}