Pith Number

pith:HZWYGHKY

pith:2012:HZWYGHKYEVFSGS2YZ6PPQVVAPM

not attested not anchored not stored refs pending

On an isoperimetric problem with a competing non-local term. II. The general case

Cyrill B. Muratov, Hans Knuepfer

arxiv:1206.7078 v1 · 2012-06-29 · math.AP · math-ph · math.MP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZWYGHKYEVFSGS2YZ6PPQVVAPM}

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	2026-05-17T23:46:31.475357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e6d831d58254b234b58cf9ef856a07b3bebffe5d6efab1f61d4e6c000292ff7

Aliases

arxiv: 1206.7078 · arxiv_version: 1206.7078v1 · doi: 10.48550/arxiv.1206.7078 · pith_short_12: HZWYGHKYEVFS · pith_short_16: HZWYGHKYEVFSGS2Y · pith_short_8: HZWYGHKY

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/HZWYGHKYEVFSGS2YZ6PPQVVAPM \
  | 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: 3e6d831d58254b234b58cf9ef856a07b3bebffe5d6efab1f61d4e6c000292ff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d2e9267aa3b3f9cc6afd1c4db471f75240318135c87208c64115a879cc0a281",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-29T17:13:21Z",
    "title_canon_sha256": "8eb825f462f5efaea07025938999a31d9168cc199cd6d5fe87964d9c761e4758"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.7078",
    "kind": "arxiv",
    "version": 1
  }
}