Pith Number

pith:4RPNIMYC

pith:2012:4RPNIMYCUTEAQL57TLS6AYGGHW

not attested not anchored not stored refs pending

Minimizers of the Willmore functional with a small area constraint

Jan Metzger, Tobias Lamm

arxiv:1201.1887 v2 · 2012-01-09 · math.DG · 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{4RPNIMYCUTEAQL57TLS6AYGGHW}

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	2026-05-18T01:58:53.836859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e45ed43302a4c8082fbf9ae5e060c63d8c235757646400521acd07bc85e40af2

Aliases

arxiv: 1201.1887 · arxiv_version: 1201.1887v2 · doi: 10.48550/arxiv.1201.1887 · pith_short_12: 4RPNIMYCUTEA · pith_short_16: 4RPNIMYCUTEAQL57 · pith_short_8: 4RPNIMYC

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/4RPNIMYCUTEAQL57TLS6AYGGHW \
  | 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: e45ed43302a4c8082fbf9ae5e060c63d8c235757646400521acd07bc85e40af2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "500d05856805c1ac2d29f787f54155bb31eb4fbccd821cad1d2d09d90029d3e3",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-09T19:54:49Z",
    "title_canon_sha256": "8cbf0225397fd7fd6c31e02f74fe8266ac971cb33f0a8b0149aebe4e2e0cf8d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1887",
    "kind": "arxiv",
    "version": 2
  }
}