Pith Number

pith:YBMLUXOS

pith:2013:YBMLUXOSZZWLF6ZWYJERMFUH5A

not attested not anchored not stored refs pending

The role of the Legendre transform in the study of the Floer complex of cotangent bundles

Alberto Abbondandolo, Matthias Schwarz

arxiv:1306.4087 v1 · 2013-06-18 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBMLUXOSZZWLF6ZWYJERMFUH5A}

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	2026-05-18T01:32:43.958284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c058ba5dd2ce6cb2fb36c249161687e8020f3823193741782d386a81f50de55a

Aliases

arxiv: 1306.4087 · arxiv_version: 1306.4087v1 · doi: 10.48550/arxiv.1306.4087 · pith_short_12: YBMLUXOSZZWL · pith_short_16: YBMLUXOSZZWLF6ZW · pith_short_8: YBMLUXOS

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/YBMLUXOSZZWLF6ZWYJERMFUH5A \
  | 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: c058ba5dd2ce6cb2fb36c249161687e8020f3823193741782d386a81f50de55a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00bfa5cd4213644dc3cc264acd06f6f43df228ceae4d6fbb15d1cf02a686d523",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-06-18T07:24:14Z",
    "title_canon_sha256": "e9450923d4f7df40662174c2d0a9605eb44a841c2c2b7b26fc0acec113e07ddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4087",
    "kind": "arxiv",
    "version": 1
  }
}