Pith Number

pith:3KMUDFU2

pith:2014:3KMUDFU2WRIBQ5DP62WLTC3CSY

not attested not anchored not stored refs pending

Embedded area-constrained Willmore tori of small area in Riemannian three-manifolds I: Minimization

Andrea Malchiodi, Andrea Mondino, Norihisa Ikoma

arxiv:1411.4396 v2 · 2014-11-17 · 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{3KMUDFU2WRIBQ5DP62WLTC3CSY}

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	2026-05-17T23:46:56.000830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da9941969ab45018746ff6acb98b629605abfb0ba34c03e4eac3362c23f06651

Aliases

arxiv: 1411.4396 · arxiv_version: 1411.4396v2 · doi: 10.48550/arxiv.1411.4396 · pith_short_12: 3KMUDFU2WRIB · pith_short_16: 3KMUDFU2WRIBQ5DP · pith_short_8: 3KMUDFU2

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/3KMUDFU2WRIBQ5DP62WLTC3CSY \
  | 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: da9941969ab45018746ff6acb98b629605abfb0ba34c03e4eac3362c23f06651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0813f6094f9428d8a17033eb997a499811419d0198b999d6001ab4a89cc38749",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-17T09:23:57Z",
    "title_canon_sha256": "222df565fb04a108e3c80d402f22eb12c1ba455cc21a6678fd9713aec4656940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4396",
    "kind": "arxiv",
    "version": 2
  }
}