Pith Number

pith:QG76NKFO

pith:2012:QG76NKFOFZ7B5HMAH3B2VJKCUQ

not attested not anchored not stored refs pending

Uniqueness results for critical points of a non-local isoperimetric problem via curve shortening

Dorian Goldman

arxiv:1206.5984 v1 · 2012-06-26 · math-ph · math.AP · 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{QG76NKFOFZ7B5HMAH3B2VJKCUQ}

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	2026-05-18T03:51:48.380586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81bfe6a8ae2e7e1e9d803ec3aaa542a41a3c23df4f303771b84f596114b7569d

Aliases

arxiv: 1206.5984 · arxiv_version: 1206.5984v1 · doi: 10.48550/arxiv.1206.5984 · pith_short_12: QG76NKFOFZ7B · pith_short_16: QG76NKFOFZ7B5HMA · pith_short_8: QG76NKFO

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/QG76NKFOFZ7B5HMAH3B2VJKCUQ \
  | 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: 81bfe6a8ae2e7e1e9d803ec3aaa542a41a3c23df4f303771b84f596114b7569d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39011f9342c92a8e5e8bb88fefa1b0f06a8be481608ddeab8f405329352637ad",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-26T13:33:16Z",
    "title_canon_sha256": "2194ebb6f0ca596b83617a3e770e6287b1420689d2751b1e56c6d42f64efaed4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5984",
    "kind": "arxiv",
    "version": 1
  }
}