Pith Number

pith:GG7WPP3E

pith:2012:GG7WPP3EPSNMSZV6NWZKC3M7GN

not attested not anchored not stored refs pending

Minimality via second variation for a nonlocal isoperimetric problem

Emilio Acerbi, Massimiliano Morini, Nicola Fusco

arxiv:1211.0164 v1 · 2012-11-01 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GG7WPP3EPSNMSZV6NWZKC3M7GN}

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	2026-05-18T01:53:27.029793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31bf67bf647c9ac966be6db2a16d9f3350631b89a40c31a84e99fd3fa143327d

Aliases

arxiv: 1211.0164 · arxiv_version: 1211.0164v1 · doi: 10.48550/arxiv.1211.0164 · pith_short_12: GG7WPP3EPSNM · pith_short_16: GG7WPP3EPSNMSZV6 · pith_short_8: GG7WPP3E

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/GG7WPP3EPSNMSZV6NWZKC3M7GN \
  | 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: 31bf67bf647c9ac966be6db2a16d9f3350631b89a40c31a84e99fd3fa143327d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ee1a9d0e745800e0a857cee9bca5fc22862e95e7cbf88069edb007f3855d7b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-01T12:45:18Z",
    "title_canon_sha256": "7f240b789e6df6a31a2e5bca500c26c9efc12f5544bece166a7be58b747a94c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0164",
    "kind": "arxiv",
    "version": 1
  }
}