Pith Number

pith:BZVTSNPQ

pith:2015:BZVTSNPQ5CGWEMIBREFCP36EOA

not attested not anchored not stored refs pending

Second-order edge-penalization in the Ambrosio-Tortorelli functional

Caterina Zeppieri, Martin Burger, Teresa Esposito

arxiv:1504.05115 v1 · 2015-04-20 · math.AP · 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{BZVTSNPQ5CGWEMIBREFCP36EOA}

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	2026-05-18T02:18:22.599355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e6b3935f0e88d623101890a27efc4703bcc0babff5918c7c52460490c486b75

Aliases

arxiv: 1504.05115 · arxiv_version: 1504.05115v1 · doi: 10.48550/arxiv.1504.05115 · pith_short_12: BZVTSNPQ5CGW · pith_short_16: BZVTSNPQ5CGWEMIB · pith_short_8: BZVTSNPQ

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/BZVTSNPQ5CGWEMIBREFCP36EOA \
  | 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: 0e6b3935f0e88d623101890a27efc4703bcc0babff5918c7c52460490c486b75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dcca61d60f63b9ecd6269328485c2f935666a3a0dd141dced4141341547a149",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-20T16:41:40Z",
    "title_canon_sha256": "d97a0f3cd6746fd52a29b86f57849ae3434c3975a59bdeecc440d21e5f43fc08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05115",
    "kind": "arxiv",
    "version": 1
  }
}