Pith Number

pith:4NRJGGHX

pith:2016:4NRJGGHXXTTRDZBSVHTPDBEDQ7

not attested not anchored not stored refs pending

Lagrangian isotopies and symplectic function theory

Cedric Membrez, Michael Entov, Yaniv Ganor

arxiv:1610.09631 v3 · 2016-10-30 · 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{4NRJGGHXXTTRDZBSVHTPDBEDQ7}

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	2026-05-18T00:26:57.743329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3629318f7bce711e432a9e6f1848387d0f47edcbf64fe7ab1287d6bc13946ce

Aliases

arxiv: 1610.09631 · arxiv_version: 1610.09631v3 · doi: 10.48550/arxiv.1610.09631 · pith_short_12: 4NRJGGHXXTTR · pith_short_16: 4NRJGGHXXTTRDZBS · pith_short_8: 4NRJGGHX

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/4NRJGGHXXTTRDZBSVHTPDBEDQ7 \
  | 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: e3629318f7bce711e432a9e6f1848387d0f47edcbf64fe7ab1287d6bc13946ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb529bf8fc534e03c0c815155ca25edb3ced2eb52a7779f7cb5bdd53c4b58f6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-10-30T11:06:02Z",
    "title_canon_sha256": "f20a1c6ca3d441955b41e8a31ae70743635bd0b5e3780a302f665fdfe7c52245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09631",
    "kind": "arxiv",
    "version": 3
  }
}