Pith Number

pith:DELUIAPM

pith:2012:DELUIAPMQF7P3FORYZPB7RSN6O

not attested not anchored not stored refs pending

Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements

Jean-Francois Babadjian, Vincent Millot

arxiv:1207.3687 v2 · 2012-07-16 · 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{DELUIAPMQF7P3FORYZPB7RSN6O}

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	2026-05-18T03:08:59.755040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19174401ec817efd95d1c65e1fc64df397bba32f9aded2a2d5e4dce013c670f4

Aliases

arxiv: 1207.3687 · arxiv_version: 1207.3687v2 · doi: 10.48550/arxiv.1207.3687 · pith_short_12: DELUIAPMQF7P · pith_short_16: DELUIAPMQF7P3FOR · pith_short_8: DELUIAPM

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/DELUIAPMQF7P3FORYZPB7RSN6O \
  | 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: 19174401ec817efd95d1c65e1fc64df397bba32f9aded2a2d5e4dce013c670f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b2247e1eec428e221d258713356f92548afbd58855cc2eabb8f600ed4eb06d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-16T14:12:22Z",
    "title_canon_sha256": "b6eba1d19db1895b7d4896ffdbb3f98d3f121f9329f66104c039f3f40bf42943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3687",
    "kind": "arxiv",
    "version": 2
  }
}