Pith Number

pith:XZ6SBWAI

pith:2010:XZ6SBWAIOKSVHFWPCPJXGO5KRD

not attested not anchored not stored refs pending

A Lefschetz duality intersection homology

G. Valette

arxiv:1012.2695 v2 · 2010-12-13 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZ6SBWAIOKSVHFWPCPJXGO5KRD}

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	2026-05-18T04:23:47.798576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be7d20d80872a55396cf13d3733baa88f08e46d39236da1ddf4dc4d2180934da

Aliases

arxiv: 1012.2695 · arxiv_version: 1012.2695v2 · doi: 10.48550/arxiv.1012.2695 · pith_short_12: XZ6SBWAIOKSV · pith_short_16: XZ6SBWAIOKSVHFWP · pith_short_8: XZ6SBWAI

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/XZ6SBWAIOKSVHFWPCPJXGO5KRD \
  | 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: be7d20d80872a55396cf13d3733baa88f08e46d39236da1ddf4dc4d2180934da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79ca87862e5bba92998fe211dd22d8507ad6bf20855c2a81a3c33ecfe26c1cf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-12-13T11:24:51Z",
    "title_canon_sha256": "40d307bea90917be6e3f9583d2c9cdd9662b675d9db48211ca5b26bee06445e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2695",
    "kind": "arxiv",
    "version": 2
  }
}