Pith Number

pith:6ELVS2ZB

pith:2019:6ELVS2ZBJAEDSYX7FA6HTNDBV6

not attested not anchored not stored refs pending

Cluster structures and subfans in scattering diagrams

Yan Zhou

arxiv:1901.04166 v3 · 2019-01-14 · 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{6ELVS2ZBJAEDSYX7FA6HTNDBV6}

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 Frobenius structure theorem for affine log Calabi-Yau varieties containing a torus

Receipt and verification

First computed	2026-07-05T00:47:25.662128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f117596b2148083962ff283c79b461afb8fb7a02839ad0ffefecd911f51bb8c9

Aliases

arxiv: 1901.04166 · arxiv_version: 1901.04166v3 · doi: 10.48550/arxiv.1901.04166 · pith_short_12: 6ELVS2ZBJAED · pith_short_16: 6ELVS2ZBJAEDSYX7 · pith_short_8: 6ELVS2ZB

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/6ELVS2ZBJAEDSYX7FA6HTNDBV6 \
  | 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: f117596b2148083962ff283c79b461afb8fb7a02839ad0ffefecd911f51bb8c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a425ea8d2189bf1abd4c3011f5d58d80d89dbf051786a6dfa302c56f91232a73",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-14T07:38:11Z",
    "title_canon_sha256": "fdd0fc0bb47e5612eed74812e980bf10c9e4496de185e6aa5aa1df4dccd917ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04166",
    "kind": "arxiv",
    "version": 3
  }
}