Pith Number

pith:POTZC3I5

pith:2012:POTZC3I53NOWZ4VBWUTAP4L7BX

not attested not anchored not stored refs pending

3D-2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization

Elvira Zappale, Gra\c{c}a Carita

arxiv:1211.2560 v1 · 2012-11-12 · 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{POTZC3I53NOWZ4VBWUTAP4L7BX}

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	2026-05-18T03:41:02.977524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ba7916d1ddb5d6cf2a1b52607f17f0df105dbd7fa0c569c7701b0c4a47844bc

Aliases

arxiv: 1211.2560 · arxiv_version: 1211.2560v1 · doi: 10.48550/arxiv.1211.2560 · pith_short_12: POTZC3I53NOW · pith_short_16: POTZC3I53NOWZ4VB · pith_short_8: POTZC3I5

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/POTZC3I53NOWZ4VBWUTAP4L7BX \
  | 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: 7ba7916d1ddb5d6cf2a1b52607f17f0df105dbd7fa0c569c7701b0c4a47844bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa7b03b11374bf3e254988bf6010d13d190e35f9259232f536b743d88777ae3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-12T10:53:36Z",
    "title_canon_sha256": "f098504fd708821a650a90acb5dd06d0e75f38dd5fb4cf986f619093be648372"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2560",
    "kind": "arxiv",
    "version": 1
  }
}