Pith Number

pith:JWQOSPIA

pith:2013:JWQOSPIAKYBH2BYK22YZDDC5TN

not attested not anchored not stored refs pending

Curvature: a variational approach

Andrei Agrachev, Davide Barilari, Luca Rizzi

arxiv:1306.5318 v5 · 2013-06-22 · math.DG · math.MG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWQOSPIAKYBH2BYK22YZDDC5TN}

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	2026-05-17T23:59:40.024585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4da0e93d0056027d070ad6b1918c5d9b7d21c672c542c065dbd2a95587f6544d

Aliases

arxiv: 1306.5318 · arxiv_version: 1306.5318v5 · doi: 10.48550/arxiv.1306.5318 · pith_short_12: JWQOSPIAKYBH · pith_short_16: JWQOSPIAKYBH2BYK · pith_short_8: JWQOSPIA

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/JWQOSPIAKYBH2BYK22YZDDC5TN \
  | 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: 4da0e93d0056027d070ad6b1918c5d9b7d21c672c542c065dbd2a95587f6544d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cb367790305aa25f4736b73392a8df17acbb04e37a46ba571cdf2c553b6d7de",
    "cross_cats_sorted": [
      "math.MG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-22T13:19:58Z",
    "title_canon_sha256": "492176ac67c3b18d9366a1e8289ce9b7abc28197b4a64cfa93b9e83e12979514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5318",
    "kind": "arxiv",
    "version": 5
  }
}