Pith Number

pith:WZV7KAU7

pith:2022:WZV7KAU7JQP76N4OA442B6XPS6

not attested not anchored not stored refs pending

Counting (tropical) curves via scattering.sage

Tim Graefnitz

arxiv:2210.10455 v1 · 2022-10-19 · 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{WZV7KAU7JQP76N4OA442B6XPS6}

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

Sesquicuspidal curves, scattering diagrams, and symplectic nonsqueezing

Receipt and verification

First computed	2026-07-05T05:08:19.946176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b66bf5029f4c1fff378e0739a0faef978fe39008e9acdedd826d696f5a4f193c

Aliases

arxiv: 2210.10455 · arxiv_version: 2210.10455v1 · doi: 10.48550/arxiv.2210.10455 · pith_short_12: WZV7KAU7JQP7 · pith_short_16: WZV7KAU7JQP76N4O · pith_short_8: WZV7KAU7

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/WZV7KAU7JQP76N4OA442B6XPS6 \
  | 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: b66bf5029f4c1fff378e0739a0faef978fe39008e9acdedd826d696f5a4f193c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1729c59db412291ebf8fc080ab015551edad694a67b8a16ff4cffb4039f5176",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-10-19T10:42:05Z",
    "title_canon_sha256": "baaf65b99aea51f295098ec3b9705e5e6b72a4a9fe1ddc046bb10f5b02496729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.10455",
    "kind": "arxiv",
    "version": 1
  }
}