Pith Number

pith:H4XDNLRQ

pith:2010:H4XDNLRQKGB2GXYEJK7OSVWS5D

not attested not anchored not stored refs pending

Localizing Virtual Cycles by Cosections

Jun Li, Young-Hoon Kiem

arxiv:1007.3085 v2 · 2010-07-19 · 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{H4XDNLRQKGB2GXYEJK7OSVWS5D}

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	2026-05-18T04:42:33.490790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f2e36ae305183a35f044abee956d2e8d1d4c468b24db8e8b7c47374d5030f66

Aliases

arxiv: 1007.3085 · arxiv_version: 1007.3085v2 · doi: 10.48550/arxiv.1007.3085 · pith_short_12: H4XDNLRQKGB2 · pith_short_16: H4XDNLRQKGB2GXYE · pith_short_8: H4XDNLRQ

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/H4XDNLRQKGB2GXYEJK7OSVWS5D \
  | 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: 3f2e36ae305183a35f044abee956d2e8d1d4c468b24db8e8b7c47374d5030f66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d56158bce52c22832067266adb2d329d835e290a5d62c1fcc4a56efa7b6b1734",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-19T08:40:23Z",
    "title_canon_sha256": "bb19372bd421e4ec615608883d6230a98f83170c08a479bc4fbfbb822dbb336d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3085",
    "kind": "arxiv",
    "version": 2
  }
}