Pith Number

pith:4O67TZP3

pith:2005:4O67TZP3ZZ5GB7TKLBFDZXKURU

not attested not anchored not stored refs pending

The homotopy coniveau tower

Marc Levine

arxiv:math/0510334 v1 · 2005-10-16 · math.AG · 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{4O67TZP3ZZ5GB7TKLBFDZXKURU}

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	2026-05-18T02:57:51.026973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3bdf9e5fbce7a60fe6a584a3cdd548d02828b7d7aad61f578b5f413c6bf7cc6

Aliases

arxiv: math/0510334 · arxiv_version: math/0510334v1 · doi: 10.48550/arxiv.math/0510334 · pith_short_12: 4O67TZP3ZZ5G · pith_short_16: 4O67TZP3ZZ5GB7TK · pith_short_8: 4O67TZP3

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/4O67TZP3ZZ5GB7TKLBFDZXKURU \
  | 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: e3bdf9e5fbce7a60fe6a584a3cdd548d02828b7d7aad61f578b5f413c6bf7cc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "073b9c40c73b33b60403786bb22c778b7962cb13e76731ff41393e47afa9c9dd",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-10-16T17:24:22Z",
    "title_canon_sha256": "5a9920820499c8b073720420fa8761d2c0e7333b7b811a07c75c21ae783b2570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510334",
    "kind": "arxiv",
    "version": 1
  }
}