Pith Number

pith:7DUQI7BN

pith:2013:7DUQI7BNI7NX6ERYYFQF3O7UAZ

not attested not anchored not stored refs pending

Equilibrium measures for a class of potentials with discrete rotational symmetries

Dario Merzi, Ferenc Balogh

arxiv:1312.1483 v1 · 2013-12-05 · math.CV · 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{7DUQI7BNI7NX6ERYYFQF3O7UAZ}

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	2026-05-18T03:05:27.159731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8e9047c2d47db7f1238c1605dbbf40670dc29a27e332c52386bdb65c4d1769f

Aliases

arxiv: 1312.1483 · arxiv_version: 1312.1483v1 · doi: 10.48550/arxiv.1312.1483 · pith_short_12: 7DUQI7BNI7NX · pith_short_16: 7DUQI7BNI7NX6ERY · pith_short_8: 7DUQI7BN

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/7DUQI7BNI7NX6ERYYFQF3O7UAZ \
  | 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: f8e9047c2d47db7f1238c1605dbbf40670dc29a27e332c52386bdb65c4d1769f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "795e4dd3baec3faf1c8003e2bb3d517a58dd3e932c56d28c6513ef096423700e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-12-05T09:49:21Z",
    "title_canon_sha256": "b595fceb9ed10e801fadb9e08dbdcb603d318746069c3777461b623329e54bdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1483",
    "kind": "arxiv",
    "version": 1
  }
}