Pith Number

pith:M6EAOGG7

pith:2016:M6EAOGG7O76O7L4UE5BNXO4HKZ

not attested not anchored not stored refs pending

Lusternik-Schnirelmann Theory and Closed Reeb Orbits

Basak Z. Gurel, Viktor L. Ginzburg

arxiv:1601.03092 v3 · 2016-01-12 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6EAOGG7O76O7L4UE5BNXO4HKZ}

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	2026-05-18T00:53:45.480737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67880718df77fcefaf942742dbbb87567446ef5c0a195919c25de1085de4b3b0

Aliases

arxiv: 1601.03092 · arxiv_version: 1601.03092v3 · doi: 10.48550/arxiv.1601.03092 · pith_short_12: M6EAOGG7O76O · pith_short_16: M6EAOGG7O76O7L4U · pith_short_8: M6EAOGG7

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/M6EAOGG7O76O7L4UE5BNXO4HKZ \
  | 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: 67880718df77fcefaf942742dbbb87567446ef5c0a195919c25de1085de4b3b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c5162398fc4987489ee709fa2cf535dbaa7acae0b6a1c74d1c2bd7abf708fa8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-01-12T22:30:26Z",
    "title_canon_sha256": "09c54dfce0c9ac2a8d88eb09572559e4036cb3f26858aad63dd8a4cab5ed8ed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03092",
    "kind": "arxiv",
    "version": 3
  }
}