Pith Number

pith:3FFZYRFA

pith:2011:3FFZYRFADAHN4VWHK3HFF3X54G

not attested not anchored not stored refs pending

Gromov Witten invariants of exploded manifolds

Brett Parker

arxiv:1102.0158 v1 · 2011-02-01 · 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{3FFZYRFADAHN4VWHK3HFF3X54G}

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.

Cited by

1 paper in Pith

The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$

Receipt and verification

First computed	2026-05-18T04:30:13.080140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d94b9c44a0180ede56c756ce52eefde18c24b350a774745fccacecde65c95192

Aliases

arxiv: 1102.0158 · arxiv_version: 1102.0158v1 · doi: 10.48550/arxiv.1102.0158 · pith_short_12: 3FFZYRFADAHN · pith_short_16: 3FFZYRFADAHN4VWH · pith_short_8: 3FFZYRFA

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/3FFZYRFADAHN4VWHK3HFF3X54G \
  | 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: d94b9c44a0180ede56c756ce52eefde18c24b350a774745fccacecde65c95192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf4292fffdebf2381303e70a49e0c73389191c55fc2109abbcae0f11b1e5852",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-02-01T13:49:53Z",
    "title_canon_sha256": "1f6d15cf1b3c86a85eb23acfb5c5b99e98371ba4ff8bbba473deefe61b62b900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0158",
    "kind": "arxiv",
    "version": 1
  }
}