Pith Number

pith:762UR4LW

pith:2015:762UR4LWSCZEKGAZQKO6SLFUYK

not attested not anchored not stored refs pending

Holomorphic curves in exploded manifolds: virtual fundamental class

Brett Parker

arxiv:1512.05823 v4 · 2015-12-17 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{762UR4LWSCZEKGAZQKO6SLFUYK}

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	2026-05-17T23:42:31.263910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffb548f17690b2451819829de92cb4c2a0616637e16eb4e032cd231a01ea3dbc

Aliases

arxiv: 1512.05823 · arxiv_version: 1512.05823v4 · doi: 10.48550/arxiv.1512.05823 · pith_short_12: 762UR4LWSCZE · pith_short_16: 762UR4LWSCZEKGAZ · pith_short_8: 762UR4LW

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/762UR4LWSCZEKGAZQKO6SLFUYK \
  | 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: ffb548f17690b2451819829de92cb4c2a0616637e16eb4e032cd231a01ea3dbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21e6756155dea79230dd545121589e04c0ff35291d265846ea9ae2e999838d27",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-12-17T23:03:27Z",
    "title_canon_sha256": "640232b824f80d76bae5281604d5aa23c8bfacf1ad83f54ed8b7b781989ffb8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05823",
    "kind": "arxiv",
    "version": 4
  }
}