Pith Number

pith:7DYFTECR

pith:2011:7DYFTECRWX5TN5X3WSORFJ3QSJ

not attested not anchored not stored refs pending

Willmore minimizers with prescribed isoperimetric ratio

Johannes Schygulla

arxiv:1103.0167 v2 · 2011-03-01 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DYFTECRWX5TN5X3WSORFJ3QSJ}

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	2026-05-18T02:03:01.718220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8f0599051b5fb36f6fbb49d12a7709240b50dd09f085112489cbb4fd8be9dca

Aliases

arxiv: 1103.0167 · arxiv_version: 1103.0167v2 · doi: 10.48550/arxiv.1103.0167 · pith_short_12: 7DYFTECRWX5T · pith_short_16: 7DYFTECRWX5TN5X3 · pith_short_8: 7DYFTECR

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/7DYFTECRWX5TN5X3WSORFJ3QSJ \
  | 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: f8f0599051b5fb36f6fbb49d12a7709240b50dd09f085112489cbb4fd8be9dca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73dd334073b3e56f96659f4b2bb99f44470e91bb92a23b0556e707b2fa5f0a7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-01T13:45:25Z",
    "title_canon_sha256": "55cf90db3a6d2fe30128e0c25c8489a356986297d0115ce09929eb5270d0e491"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0167",
    "kind": "arxiv",
    "version": 2
  }
}