Pith Number

pith:YTMT3L5W

pith:2013:YTMT3L5WDTLW2QORVDAOKMV5NY

not attested not anchored not stored refs pending

An algebraic approach to virtual fundamental cycles on moduli spaces of pseudo-holomorphic curves

John Pardon

arxiv:1309.2370 v6 · 2013-09-10 · math.SG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTMT3L5WDTLW2QORVDAOKMV5NY}

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	2026-05-18T01:15:47.317785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4d93dafb61cd76d41d1a8c0e532bd6e0ecad890f540d5a4713626b1ad174bff

Aliases

arxiv: 1309.2370 · arxiv_version: 1309.2370v6 · doi: 10.48550/arxiv.1309.2370 · pith_short_12: YTMT3L5WDTLW · pith_short_16: YTMT3L5WDTLW2QOR · pith_short_8: YTMT3L5W

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/YTMT3L5WDTLW2QORVDAOKMV5NY \
  | 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: c4d93dafb61cd76d41d1a8c0e532bd6e0ecad890f540d5a4713626b1ad174bff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddc3b513de244b399088364e35adf81cfe5f03ba95b28f60bd3c3742ac78f44a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-09-10T04:40:43Z",
    "title_canon_sha256": "086cfe847531eebcf7b83eb77bf9d14140070e4e1443cdd5b68d95d4ef7e7ffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2370",
    "kind": "arxiv",
    "version": 6
  }
}