Pith Number

pith:VCIVWL4U

pith:2023:VCIVWL4U7R7UMK27JBMQQCMUHB

not attested not anchored not stored refs pending

All-genus WDVV recursion, quivers, and BPS invariants

Longting Wu, Pierrick Bousseau

arxiv:2303.00503 v1 · 2023-03-01 · 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{VCIVWL4U7R7UMK27JBMQQCMUHB}

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

BPS polynomials and Welschinger invariants

Receipt and verification

First computed	2026-07-05T05:47:09.968128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8915b2f94fc7f462b5f4859080994387ab2659b58a44d406dffccd86fabd05e

Aliases

arxiv: 2303.00503 · arxiv_version: 2303.00503v1 · doi: 10.48550/arxiv.2303.00503 · pith_short_12: VCIVWL4U7R7U · pith_short_16: VCIVWL4U7R7UMK27 · pith_short_8: VCIVWL4U

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/VCIVWL4U7R7UMK27JBMQQCMUHB \
  | 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: a8915b2f94fc7f462b5f4859080994387ab2659b58a44d406dffccd86fabd05e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a2eb9dab1fb9ad1afe05b775584bd1bb56b55916bfe248260fe8f2f94d11a24",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-03-01T13:37:42Z",
    "title_canon_sha256": "b45f1cad68b7534f2dc31c81b7db83478239e02a4be7bca7a2d24a58cc14c2f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.00503",
    "kind": "arxiv",
    "version": 1
  }
}