Pith Number

pith:LM7CB3T7

pith:2012:LM7CB3T72PF3OWGGH2XLACG6Y2

not attested not anchored not stored refs pending

Analysis and optimal boundary control of a nonstandard system of phase field equations

Gianni Gilardi, J\"urgen Sprekels, Pierluigi Colli

arxiv:1201.5541 v2 · 2012-01-26 · 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{LM7CB3T72PF3OWGGH2XLACG6Y2}

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	2026-05-18T04:03:34.378127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b3e20ee7fd3cbb758c63eaeb008dec68a1cd426f273916ee54355ddbcbda042

Aliases

arxiv: 1201.5541 · arxiv_version: 1201.5541v2 · doi: 10.48550/arxiv.1201.5541 · pith_short_12: LM7CB3T72PF3 · pith_short_16: LM7CB3T72PF3OWGG · pith_short_8: LM7CB3T7

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/LM7CB3T72PF3OWGGH2XLACG6Y2 \
  | 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: 5b3e20ee7fd3cbb758c63eaeb008dec68a1cd426f273916ee54355ddbcbda042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57e93cb021cb1d369df241ee2ad298b6d030d7607f0b652bf5acef2ea346b8b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-26T14:51:06Z",
    "title_canon_sha256": "11844030c545d845dcd4199f3d9c3772b215e5217e150f9b4ac026b6da2aaa31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5541",
    "kind": "arxiv",
    "version": 2
  }
}