Pith Number

pith:76HD22IX

pith:2019:76HD22IXLMKMUVJSHVQUKG2G3H

not attested not anchored not stored refs pending

Minimizers of Generalized Willmore Functionals

Alexander Friedrich

arxiv:1909.02381 v2 · 2019-09-05 · math.DG · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76HD22IXLMKMUVJSHVQUKG2G3H}

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.

Cited by

1 paper in Pith

Concentration of Small Hawking Type Surfaces

Receipt and verification

First computed	2026-07-05T02:19:24.574193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff8e3d69175b14ca55323d61451b46d9f4fb80d08b049932874b79fdba443c07

Aliases

arxiv: 1909.02381 · arxiv_version: 1909.02381v2 · doi: 10.48550/arxiv.1909.02381 · pith_short_12: 76HD22IXLMKM · pith_short_16: 76HD22IXLMKMUVJS · pith_short_8: 76HD22IX

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/76HD22IXLMKMUVJSHVQUKG2G3H \
  | 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: ff8e3d69175b14ca55323d61451b46d9f4fb80d08b049932874b79fdba443c07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927b8e949eca2c3192c3d95e75a33d1ce29452fd3ae88e549a5c1767910ea381",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-09-05T13:12:57Z",
    "title_canon_sha256": "be22f342019e30f14dce44b750ba5da3bf75f87dd851fb7e8596af3b5258a068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02381",
    "kind": "arxiv",
    "version": 2
  }
}