Pith Number

pith:IAJPZUDS

pith:2012:IAJPZUDSAME3BIRYKLSLSKAWHI

not attested not anchored not stored refs pending

On the relaxation of variational integrals in metric Sobolev spaces

Jean-Philippe Mandallena, Omar Anza Hafsa

arxiv:1206.6643 v3 · 2012-06-28 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IAJPZUDSAME3BIRYKLSLSKAWHI}

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	2026-05-18T03:11:22.102302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4012fcd0720309b0a23852e4b928163a1ca467d3bc6ae0eca519e6b8569ee46a

Aliases

arxiv: 1206.6643 · arxiv_version: 1206.6643v3 · doi: 10.48550/arxiv.1206.6643 · pith_short_12: IAJPZUDSAME3 · pith_short_16: IAJPZUDSAME3BIRY · pith_short_8: IAJPZUDS

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/IAJPZUDSAME3BIRYKLSLSKAWHI \
  | 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: 4012fcd0720309b0a23852e4b928163a1ca467d3bc6ae0eca519e6b8569ee46a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c875b1c4ffc6df3997d46fb21715b4c7c92b162bad3faec9a1a66740b0ee7c6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-06-28T11:55:38Z",
    "title_canon_sha256": "d371a5e94b73aed3a277d4489735e5517af0199ef9be60048a6f3c5d8834f691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6643",
    "kind": "arxiv",
    "version": 3
  }
}