Pith Number

pith:7UJCCT4W

pith:2019:7UJCCT4WKDSJ37FDZAOJOTERWH

not attested not anchored not stored refs pending

Gromov-Witten theory with maximal contacts

Dhruv Ranganathan, Navid Nabijou

arxiv:1908.04706 v3 · 2019-08-13 · 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{7UJCCT4WKDSJ37FDZAOJOTERWH}

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	2026-07-05T03:50:45.614375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd12214f9650e49dfca3c81c974c91b1efdeeb211c2b670222a3560b5a02c7f4

Aliases

arxiv: 1908.04706 · arxiv_version: 1908.04706v3 · doi: 10.48550/arxiv.1908.04706 · pith_short_12: 7UJCCT4WKDSJ · pith_short_16: 7UJCCT4WKDSJ37FD · pith_short_8: 7UJCCT4W

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/7UJCCT4WKDSJ37FDZAOJOTERWH \
  | 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: fd12214f9650e49dfca3c81c974c91b1efdeeb211c2b670222a3560b5a02c7f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca38df0c106a6a2b854bbea1283eb2bc0dbf326b7adf9384d03ff3f7ff290959",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-13T15:45:40Z",
    "title_canon_sha256": "39f10993f0da2227ffad17fe7dee4f7202b99c1d9eb7fd1fced2183a1e54e84a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04706",
    "kind": "arxiv",
    "version": 3
  }
}