Pith Number

pith:NU5YZUVM

pith:2010:NU5YZUVMPOSTIWHCDDLCZBPCH6

not attested not anchored not stored refs pending

Relations among tautological classes revisited

Oscar Randal-Williams

arxiv:1012.1430 v1 · 2010-12-07 · math.AT · 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{NU5YZUVMPOSTIWHCDDLCZBPCH6}

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	2026-05-18T03:37:09.304368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d3b8cd2ac7ba53458e218d62c85e23fad2ad883a3938252494c0846690a1b3f

Aliases

arxiv: 1012.1430 · arxiv_version: 1012.1430v1 · doi: 10.48550/arxiv.1012.1430 · pith_short_12: NU5YZUVMPOST · pith_short_16: NU5YZUVMPOSTIWHC · pith_short_8: NU5YZUVM

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/NU5YZUVMPOSTIWHCDDLCZBPCH6 \
  | 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: 6d3b8cd2ac7ba53458e218d62c85e23fad2ad883a3938252494c0846690a1b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29fe68f6a8a161a427a46acb42b37cef5f8351837da49abdae5fe1b6a214e1a0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-12-07T08:40:09Z",
    "title_canon_sha256": "cfda6e07de83900bb9ceced65aa287859bdc4ca61b7c6e59140fbba290c6d5df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1430",
    "kind": "arxiv",
    "version": 1
  }
}