Pith Number

pith:WBT63V2O

pith:2025:WBT63V2OITXMUIH7HW7763CBVO

not attested not anchored not stored refs pending

Hodge microsheaves on cotangent bundles and plumbings

Takahiro Saito, Tatsuki Kuwagaki

arxiv:2502.04148 v2 · 2025-02-06 · math.AG · math.RT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBT63V2OITXMUIH7HW7763CBVO}

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	2026-07-05T11:00:04.399189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b067edd74e44eeca20ff3dbfff6c41ab949b9bcc1bdbaee94f46e1ac9e1f3bf4

Aliases

arxiv: 2502.04148 · arxiv_version: 2502.04148v2 · doi: 10.48550/arxiv.2502.04148 · pith_short_12: WBT63V2OITXM · pith_short_16: WBT63V2OITXMUIH7 · pith_short_8: WBT63V2O

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/WBT63V2OITXMUIH7HW7763CBVO \
  | 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: b067edd74e44eeca20ff3dbfff6c41ab949b9bcc1bdbaee94f46e1ac9e1f3bf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d62a0979124f0622297af45ae0e0105caf96c0b8237de88b5bd4ce2b7d28244",
    "cross_cats_sorted": [
      "math.RT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-02-06T15:29:51Z",
    "title_canon_sha256": "61601dc0a3582a0e5ae98e2204e5bc143f6dd1b38b0d8bc6bfd1ff32fb783915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04148",
    "kind": "arxiv",
    "version": 2
  }
}