Pith Number

pith:7C5RSPQI

pith:2022:7C5RSPQIXHRKRPCFBRZSGYGLVL

not attested not anchored not stored refs pending

Gromov-Witten theory via roots and logarithms

Dhruv Ranganathan, Luca Battistella, Navid Nabijou

arxiv:2203.17224 v4 · 2022-03-31 · 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{7C5RSPQIXHRKRPCFBRZSGYGLVL}

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

Universality for tropical and logarithmic maps

Receipt and verification

First computed	2026-07-05T06:25:57.149627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8bb193e08b9e2a8bc450c732360cbaaea7aabcb5f225557eb461e4af7e39d7c

Aliases

arxiv: 2203.17224 · arxiv_version: 2203.17224v4 · doi: 10.48550/arxiv.2203.17224 · pith_short_12: 7C5RSPQIXHRK · pith_short_16: 7C5RSPQIXHRKRPCF · pith_short_8: 7C5RSPQI

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/7C5RSPQIXHRKRPCFBRZSGYGLVL \
  | 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: f8bb193e08b9e2a8bc450c732360cbaaea7aabcb5f225557eb461e4af7e39d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2813d7736b8d1936155c53f8484b2901e466d06f3207d86d478a91d9888b97c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-03-31T17:47:49Z",
    "title_canon_sha256": "192019d39dbe32315bf8d075d70245c2ccf90b8abd41247c063dc12a2cf1f35b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.17224",
    "kind": "arxiv",
    "version": 4
  }
}