Pith Number

pith:HVX73DUB

pith:2011:HVX73DUBVBH3YWXFFNWKB3WJQR

not attested not anchored not stored refs pending

Cup and cap products in intersection (co)homology

Greg Friedman, James McClure

arxiv:1106.4799 v2 · 2011-06-23 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVX73DUBVBH3YWXFFNWKB3WJQR}

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	2026-05-18T03:07:32.210440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d6ffd8e81a84fbc5ae52b6ca0eec98478a1ed48ea7c8f4a92f5653c33b4470d

Aliases

arxiv: 1106.4799 · arxiv_version: 1106.4799v2 · doi: 10.48550/arxiv.1106.4799 · pith_short_12: HVX73DUBVBH3 · pith_short_16: HVX73DUBVBH3YWXF · pith_short_8: HVX73DUB

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/HVX73DUBVBH3YWXFFNWKB3WJQR \
  | 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: 3d6ffd8e81a84fbc5ae52b6ca0eec98478a1ed48ea7c8f4a92f5653c33b4470d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58a7daa7d9975662f7dff83b1c0212af36bb93528b5b838392c916b6a77a6908",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-06-23T19:25:31Z",
    "title_canon_sha256": "38810d3b994788978386f7f0747b0e6e61a4646ab00733cc04de19f4be3eca21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4799",
    "kind": "arxiv",
    "version": 2
  }
}