Pith Number

pith:CVQITSCI

pith:2026:CVQITSCIE3HUVVS4G7WPC5LNNH

not attested not anchored not stored refs pending

Regular Curves, Singular Graphs: Cantor Parts and the Relaxed Willmore Energy

Boris Gulyak, Hans-Christoph Grunau

arxiv:2607.12899 v1 · 2026-07-14 · 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{CVQITSCIE3HUVVS4G7WPC5LNNH}

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	2026-07-15T01:22:24.163208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

156089c84826cf4ad65c37ecf1756d69cea8247acac22325f0b92b42fd7b0f8a

Aliases

arxiv: 2607.12899 · arxiv_version: 2607.12899v1 · doi: 10.48550/arxiv.2607.12899 · pith_short_12: CVQITSCIE3HU · pith_short_16: CVQITSCIE3HUVVS4 · pith_short_8: CVQITSCI

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/CVQITSCIE3HUVVS4G7WPC5LNNH \
  | 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: 156089c84826cf4ad65c37ecf1756d69cea8247acac22325f0b92b42fd7b0f8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "359e48dd2f59ae0dbda1f1539d95cff282b18aeb084f6181aff6a5058f65a558",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-14T15:36:07Z",
    "title_canon_sha256": "bc9e99589290c1a673e62e2bd18a0074eb164de793fd4472f1cce8b87028507d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12899",
    "kind": "arxiv",
    "version": 1
  }
}