Pith Number

pith:63RKBQG3

pith:2026:63RKBQG3GLPTXTZ3OWQJVZQMEF

not attested not anchored not stored refs pending

Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing

Reginald Anderson

arxiv:2607.02526 v1 · 2026-05-11 · 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{63RKBQG3GLPTXTZ3OWQJVZQMEF}

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	2026-07-07T00:15:59.042059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6e2a0c0db32df3bcf3b75a09ae60c2148dc09dc7598e0edb9a92bffbb21923b

Aliases

arxiv: 2607.02526 · arxiv_version: 2607.02526v1 · doi: 10.48550/arxiv.2607.02526 · pith_short_12: 63RKBQG3GLPT · pith_short_16: 63RKBQG3GLPTXTZ3 · pith_short_8: 63RKBQG3

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/63RKBQG3GLPTXTZ3OWQJVZQMEF \
  | 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: f6e2a0c0db32df3bcf3b75a09ae60c2148dc09dc7598e0edb9a92bffbb21923b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2b587565d0fbf6ab5c03ee4df5105eaa2340361bba14a26d68b807a13e99f7b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-11T17:25:15Z",
    "title_canon_sha256": "e236828578b2485a1b289c65b727da4aa73584ab55c3447a61e4f24af87a1451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02526",
    "kind": "arxiv",
    "version": 1
  }
}