Pith Number

pith:XA7RWAML

pith:2025:XA7RWAMLU33NK4YUZDZTJVPUGQ

not attested not anchored not stored refs pending

Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves

R. Virk

arxiv:2509.00984 v1 · 2025-08-31 · 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{XA7RWAMLU33NK4YUZDZTJVPUGQ}

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	2026-07-05T12:02:26.129146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b83f1b018ba6f6d57314c8f334d5f43423c3ab6db2f4551867400bd5cbe29b09

Aliases

arxiv: 2509.00984 · arxiv_version: 2509.00984v1 · doi: 10.48550/arxiv.2509.00984 · pith_short_12: XA7RWAMLU33N · pith_short_16: XA7RWAMLU33NK4YU · pith_short_8: XA7RWAML

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/XA7RWAMLU33NK4YUZDZTJVPUGQ \
  | 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: b83f1b018ba6f6d57314c8f334d5f43423c3ab6db2f4551867400bd5cbe29b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afa7b86d1a7286ce3477c4dfa53cf28190f40e7dd06fbb2bf5290251335d1def",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-31T20:39:10Z",
    "title_canon_sha256": "2a830c993077ca63a5288c0c7ecc2daab64acf7afb36aa77fd8ac7e63f0ed9cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00984",
    "kind": "arxiv",
    "version": 1
  }
}