Pith Number

pith:SIQ5JUKA

pith:2008:SIQ5JUKAOS2P6TLMCZIDGVOE3M

not attested not anchored not stored refs pending

Uniqueness of Invariant Lagrangian Graphs in a Homology or a Cohomology Class

Albert Fathi, Alessandro Giuliani, Alfonso Sorrentino

arxiv:0801.3568 v2 · 2008-01-23 · math.DS · math-ph · math.MP · 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{SIQ5JUKAOS2P6TLMCZIDGVOE3M}

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	2026-05-18T04:33:48.732644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9221d4d14074b4ff4d6c16503355c4db23e0e4a96aee3508fd95d112ae704a5c

Aliases

arxiv: 0801.3568 · arxiv_version: 0801.3568v2 · doi: 10.48550/arxiv.0801.3568 · pith_short_12: SIQ5JUKAOS2P · pith_short_16: SIQ5JUKAOS2P6TLM · pith_short_8: SIQ5JUKA

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/SIQ5JUKAOS2P6TLMCZIDGVOE3M \
  | 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: 9221d4d14074b4ff4d6c16503355c4db23e0e4a96aee3508fd95d112ae704a5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7050db2fb0e509bccfbd49ada188b439eb2115d11b3062dcef018daf3be4a972",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-01-23T15:28:20Z",
    "title_canon_sha256": "e1c6582422e9206d805770abd4ba3c9dd0d24eee0cef7a00821ff660f9c53088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.3568",
    "kind": "arxiv",
    "version": 2
  }
}