Pith Number

pith:WR4DX5S7

pith:2017:WR4DX5S7ECDOYW2R3UAVWNXDGX

not attested not anchored not stored refs pending

Chamber structure for some equivariant relative Gromov-Witten invariants of $\mathbb{P}^1$ in genus $0$

Longting Wu

arxiv:1705.06018 v1 · 2017-05-17 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WR4DX5S7ECDOYW2R3UAVWNXDGX}

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	2026-05-18T00:44:19.189370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4783bf65f2086ec5b51dd015b36e335d192af6a0dd73060efc91360884d73c8

Aliases

arxiv: 1705.06018 · arxiv_version: 1705.06018v1 · doi: 10.48550/arxiv.1705.06018 · pith_short_12: WR4DX5S7ECDO · pith_short_16: WR4DX5S7ECDOYW2R · pith_short_8: WR4DX5S7

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/WR4DX5S7ECDOYW2R3UAVWNXDGX \
  | 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: b4783bf65f2086ec5b51dd015b36e335d192af6a0dd73060efc91360884d73c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bd6a09a7fc5d958b98fa24a7bccbdfc4fad6c81563bd465955d3cab211a9bf6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-17T06:02:47Z",
    "title_canon_sha256": "4a4ebc4e831cb82c63b86c3f0f45eb9e2d20e6e356abc0c82fe7f9c29aea1590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06018",
    "kind": "arxiv",
    "version": 1
  }
}