Pith Number

pith:NNQ6JEA2

pith:2015:NNQ6JEA2OKNT54ZFLA2QZPBUVU

not attested not anchored not stored refs pending

A phase field approach for optimal boundary control of damage processes in two-dimensional viscoelastic media

Christian Heinemann, M. Hassan Farshbaf-Shaker

arxiv:1502.02952 v3 · 2015-02-10 · 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{NNQ6JEA2OKNT54ZFLA2QZPBUVU}

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	2026-05-18T01:04:37.891720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b61e4901a729b3ef32558350cbc34ad146a730050008011d88980c9b994665d

Aliases

arxiv: 1502.02952 · arxiv_version: 1502.02952v3 · doi: 10.48550/arxiv.1502.02952 · pith_short_12: NNQ6JEA2OKNT · pith_short_16: NNQ6JEA2OKNT54ZF · pith_short_8: NNQ6JEA2

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/NNQ6JEA2OKNT54ZFLA2QZPBUVU \
  | 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: 6b61e4901a729b3ef32558350cbc34ad146a730050008011d88980c9b994665d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deb1f21f1ffc7bad5789a31f1d8d66b841d4ee5fd22d36476167d49a37b6af6b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-10T15:43:16Z",
    "title_canon_sha256": "c6a65385abf644dbf454f0265e5ec92c9b8fce6d82ac2c410934efa09039be92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02952",
    "kind": "arxiv",
    "version": 3
  }
}