Pith Number

pith:FWM5FIPX

pith:2015:FWM5FIPXXGSV33QJGBWC5AXRDK

not attested not anchored not stored refs pending

Flexible Lagrangians

Oleg Lazarev, Sheel Ganatra, Yakov Eliashberg

arxiv:1510.01287 v2 · 2015-10-05 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FWM5FIPXXGSV33QJGBWC5AXRDK}

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	2026-05-18T01:08:45.306903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d99d2a1f7b9a55dee09306c2e82f11aa3bfdcc64a9cf99a2309c53ca84fb175

Aliases

arxiv: 1510.01287 · arxiv_version: 1510.01287v2 · doi: 10.48550/arxiv.1510.01287 · pith_short_12: FWM5FIPXXGSV · pith_short_16: FWM5FIPXXGSV33QJ · pith_short_8: FWM5FIPX

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/FWM5FIPXXGSV33QJGBWC5AXRDK \
  | 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: 2d99d2a1f7b9a55dee09306c2e82f11aa3bfdcc64a9cf99a2309c53ca84fb175

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "096a8a5ad0930bdf2642caddf9ad0008b0cf59e2bd30be4693cfb082aecceeeb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-10-05T19:08:37Z",
    "title_canon_sha256": "fa3377a0709f1db0ea85cf97c35ae5126d190b1b6367b30975d65a5d827ba3e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01287",
    "kind": "arxiv",
    "version": 2
  }
}