Pith Number

pith:FX2DCKOG

pith:2017:FX2DCKOGAEQPDZJTKOWVIXA7WM

not attested not anchored not stored refs pending

Duality between Lagrangian and Legendrian invariants

Tobias Ekholm, Yanki Lekili

arxiv:1701.01284 v5 · 2017-01-05 · math.SG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FX2DCKOGAEQPDZJTKOWVIXA7WM}

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.

Cited by

1 paper in Pith

Reduced symplectic homology and string topology

Receipt and verification

First computed	2026-07-05T06:47:49.960377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df43129c60120f1e53353ad545c1fb3314855b564668437ec548fe9bcdfb415

Aliases

arxiv: 1701.01284 · arxiv_version: 1701.01284v5 · doi: 10.48550/arxiv.1701.01284 · pith_short_12: FX2DCKOGAEQP · pith_short_16: FX2DCKOGAEQPDZJT · pith_short_8: FX2DCKOG

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/FX2DCKOGAEQPDZJTKOWVIXA7WM \
  | 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: 2df43129c60120f1e53353ad545c1fb3314855b564668437ec548fe9bcdfb415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb40533d8607d42fc4d1ade54b09c376f1660660e67a863009d4aacecc68f9db",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-01-05T11:52:52Z",
    "title_canon_sha256": "3c5457ae1bebce0a6784a95d6bfd843ee678335e2fda49963c86fa724cb96b07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01284",
    "kind": "arxiv",
    "version": 5
  }
}