Pith Number

pith:WMW5KB2B

pith:2017:WMW5KB2B2EZZEGIR4L5FMXUZKO

not attested not anchored not stored refs pending

The homotopy type of spaces of rational curves on a toric variety

Andrzej Kozlowski, Kohhei Yamaguchi

arxiv:1707.02603 v2 · 2017-07-09 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMW5KB2B2EZZEGIR4L5FMXUZKO}

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	2026-05-18T00:39:30.975057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b32dd50741d133921911e2fa565e9953940d9ea4ef7f383b0b723f87b88905b5

Aliases

arxiv: 1707.02603 · arxiv_version: 1707.02603v2 · doi: 10.48550/arxiv.1707.02603 · pith_short_12: WMW5KB2B2EZZ · pith_short_16: WMW5KB2B2EZZEGIR · pith_short_8: WMW5KB2B

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/WMW5KB2B2EZZEGIR4L5FMXUZKO \
  | 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: b32dd50741d133921911e2fa565e9953940d9ea4ef7f383b0b723f87b88905b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57286081a2ab52efe1f1b578cf889ee74d2a30601ab4ff3545e82852c582c1c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-07-09T17:25:03Z",
    "title_canon_sha256": "b4168ac1f1d0432e4d7de6e2e33fb1b1186b168b036f2e114d17bcb7d0f71e32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02603",
    "kind": "arxiv",
    "version": 2
  }
}