Pith Number

pith:O5VDRSEC

pith:2012:O5VDRSECMYDRJEGNTBKXCW4O7L

not attested not anchored not stored refs pending

Categorification of Donaldson-Thomas invariants via Perverse Sheaves

Jun Li, Young-Hoon Kiem

arxiv:1212.6444 v5 · 2012-12-23 · 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{O5VDRSECMYDRJEGNTBKXCW4O7L}

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

2 papers in Pith

Non-perturbative topological strings from resurgence

Shifted symplectic rigidification

Receipt and verification

First computed	2026-05-18T01:18:49.684852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

776a38c88266071490cd9855715b8efac4e8819e51cdbb38936176bbf034ff9a

Aliases

arxiv: 1212.6444 · arxiv_version: 1212.6444v5 · doi: 10.48550/arxiv.1212.6444 · pith_short_12: O5VDRSECMYDR · pith_short_16: O5VDRSECMYDRJEGN · pith_short_8: O5VDRSEC

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/O5VDRSECMYDRJEGNTBKXCW4O7L \
  | 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: 776a38c88266071490cd9855715b8efac4e8819e51cdbb38936176bbf034ff9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92cd048676fc7f8b890c7f7fb56c14059d40247c64b3334908a68ee07f7841e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-23T22:41:27Z",
    "title_canon_sha256": "70d210cf9c17af9af3f80b4f67b5b595699ed656a953e612e25f9d79a7317696"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6444",
    "kind": "arxiv",
    "version": 5
  }
}