Pith Number

pith:JSBITK4S

pith:2000:JSBITK4SA7NQRN4JSJKH3BE6VS

not attested not anchored not stored refs pending

J-holomorphic Curves And Periodic Reeb Orbits

Renyi Ma

arxiv:math/0004037 v5 · 2000-04-07 · math.DG · 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{JSBITK4SA7NQRN4JSJKH3BE6VS}

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	2026-05-18T03:45:21.795563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c8289ab9207db08b78992547d849eac9326dddb5cd33efdab957ffd3cd071fa

Aliases

arxiv: math/0004037 · arxiv_version: math/0004037v5 · doi: 10.48550/arxiv.math/0004037 · pith_short_12: JSBITK4SA7NQ · pith_short_16: JSBITK4SA7NQRN4J · pith_short_8: JSBITK4S

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/JSBITK4SA7NQRN4JSJKH3BE6VS \
  | 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: 4c8289ab9207db08b78992547d849eac9326dddb5cd33efdab957ffd3cd071fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "918e3c3e43a05dcacb1968676f2b3cc3ae36273e34cbef83bfbe759674b18d09",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2000-04-07T01:52:56Z",
    "title_canon_sha256": "0644cee8887a60016b765a3face3ea3adddcf107f700eea741520aa494cbde92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0004037",
    "kind": "arxiv",
    "version": 5
  }
}