Pith Number

pith:OX3KEQKX

pith:2017:OX3KEQKXOD5M7VVFNQ4PYZWKNS

not attested not anchored not stored refs pending

On the Boundary Regularity of Phase-Fields for Willmore's Energy

Patrick Dondl, Stephan Wojtowytsch

arxiv:1706.02160 v1 · 2017-06-05 · 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{OX3KEQKXOD5M7VVFNQ4PYZWKNS}

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	2026-05-18T00:42:49.791144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75f6a2415770facfd6a56c38fc66ca6ca81ca0e45552754aea531557e6e62093

Aliases

arxiv: 1706.02160 · arxiv_version: 1706.02160v1 · doi: 10.48550/arxiv.1706.02160 · pith_short_12: OX3KEQKXOD5M · pith_short_16: OX3KEQKXOD5M7VVF · pith_short_8: OX3KEQKX

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/OX3KEQKXOD5M7VVFNQ4PYZWKNS \
  | 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: 75f6a2415770facfd6a56c38fc66ca6ca81ca0e45552754aea531557e6e62093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "493cadf39de3a7a0a8ec4af9839527b046826845ce55ad32ccd1cca49f9dc206",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-05T22:09:30Z",
    "title_canon_sha256": "4b2004a800036928986e63579b3d4f5696413b1af2651d790a48b2eb211fe902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02160",
    "kind": "arxiv",
    "version": 1
  }
}