Pith Number

pith:45QKDNVN

pith:2006:45QKDNVNZQHF7J2CWCVNY6HPLG

not attested not anchored not stored refs pending

On the number of homotopy types of fibres of a definable map

Nicolai Vorobjov, Saugata Basu

arxiv:math/0605517 v2 · 2006-05-18 · math.AG · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45QKDNVNZQHF7J2CWCVNY6HPLG}

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	2026-05-18T04:30:12.834508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e760a1b6adcc0e5fa742b0aadc78ef59bd37dd57e01f983d282da8b292ca7016

Aliases

arxiv: math/0605517 · arxiv_version: math/0605517v2 · doi: 10.48550/arxiv.math/0605517 · pith_short_12: 45QKDNVNZQHF · pith_short_16: 45QKDNVNZQHF7J2C · pith_short_8: 45QKDNVN

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/45QKDNVNZQHF7J2CWCVNY6HPLG \
  | 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: e760a1b6adcc0e5fa742b0aadc78ef59bd37dd57e01f983d282da8b292ca7016

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d28f9855dc78d5e0339290aa39a328387622fd336367ab20881c6a4aadbe2e",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-05-18T16:49:04Z",
    "title_canon_sha256": "b3e15ff2d19aaa822898f6b1d0a0fd73a2d861fe76310f093d597154525e7802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605517",
    "kind": "arxiv",
    "version": 2
  }
}