Pith Number

pith:CZBHDAPW

pith:2016:CZBHDAPWWISOIJVTJ5RJMMSTTF

not attested not anchored not stored refs pending

The Weighted Ambrosio - Tortorelli Approximation Scheme

Irene Fonseca, Pan Liu

arxiv:1608.03878 v1 · 2016-08-12 · 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{CZBHDAPWWISOIJVTJ5RJMMSTTF}

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	2026-05-18T01:09:11.114707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16427181f6b224e426b34f62963253994a1c355392b8cf35bf6edbb3b0996e0b

Aliases

arxiv: 1608.03878 · arxiv_version: 1608.03878v1 · doi: 10.48550/arxiv.1608.03878 · pith_short_12: CZBHDAPWWISO · pith_short_16: CZBHDAPWWISOIJVT · pith_short_8: CZBHDAPW

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/CZBHDAPWWISOIJVTJ5RJMMSTTF \
  | 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: 16427181f6b224e426b34f62963253994a1c355392b8cf35bf6edbb3b0996e0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f0cfae919a1258597040b2ed0220dfdb9ffcea315162b7ef7c530fa3c3cd069",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-12T19:20:41Z",
    "title_canon_sha256": "534fa57e9253ae77eca0c53dcd4b3a15faf1d75bd9f157430176fbc84306590a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03878",
    "kind": "arxiv",
    "version": 1
  }
}