Pith Number

pith:4RNISC34

pith:2001:4RNISC34V2AVLR3CTID4OWO2MU

not attested not anchored not stored refs pending

Dual curves and pseudoholomorphic curves

Benjamin McKay (University College Cork)

arxiv:math/0101017 v3 · 2001-01-02 · math.DG · 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{4RNISC34V2AVLR3CTID4OWO2MU}

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	2026-07-04T14:35:00.454507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e45a890b7cae8155c7629a07c759da651f45e19cf7cf5234ab6da2106e9ea267

Aliases

arxiv: math/0101017 · arxiv_version: math/0101017v3 · doi: 10.48550/arxiv.math/0101017 · pith_short_12: 4RNISC34V2AV · pith_short_16: 4RNISC34V2AVLR3C · pith_short_8: 4RNISC34

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/4RNISC34V2AVLR3CTID4OWO2MU \
  | 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: e45a890b7cae8155c7629a07c759da651f45e19cf7cf5234ab6da2106e9ea267

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "011d3fbdf3282bce893e5a160abc17d1e31cc7b638c209f6819f58e24bf39ee4",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2001-01-02T23:29:45Z",
    "title_canon_sha256": "7371a869165ba9e94d6a0ea3d0a7d18fc3a6d0cbebe51d91d3c481ab2ded86d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0101017",
    "kind": "arxiv",
    "version": 3
  }
}