Pith Number

pith:UUFNXJ4O

pith:2016:UUFNXJ4OSD77IWQ5PLVKTLKNUT

not attested not anchored not stored refs pending

A graphical interface for the Gromov--Witten theory of curves

Dhruv Ranganathan, Hannah Markwig, Paul Johnson, Renzo Cavalieri

arxiv:1604.07250 v2 · 2016-04-25 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUFNXJ4OSD77IWQ5PLVKTLKNUT}

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	2026-05-17T23:59:03.946976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a50adba78e90fff45a1d7aeaa9ad4da4f1f20e435d412cd9ffaf926b9deef785

Aliases

arxiv: 1604.07250 · arxiv_version: 1604.07250v2 · doi: 10.48550/arxiv.1604.07250 · pith_short_12: UUFNXJ4OSD77 · pith_short_16: UUFNXJ4OSD77IWQ5 · pith_short_8: UUFNXJ4O

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/UUFNXJ4OSD77IWQ5PLVKTLKNUT \
  | 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: a50adba78e90fff45a1d7aeaa9ad4da4f1f20e435d412cd9ffaf926b9deef785

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a357622287d14057167b36a6d0354a0540a249347658605c2b196a726309edaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-25T13:34:49Z",
    "title_canon_sha256": "fa779b3c81671ca5c42f11d41a2c371348f1269592374fd957164670f3c9fdb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07250",
    "kind": "arxiv",
    "version": 2
  }
}