Pith Number

pith:4AGHFJMD

pith:2005:4AGHFJMDXY2FSICMR7PGLOKXOV

not attested not anchored not stored refs pending

A diffeomorphism classification of manifolds which are like projective planes

Linus Kramer, Stephan Stolz

arxiv:math/0505621 v3 · 2005-05-28 · math.GT · 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{4AGHFJMDXY2FSICMR7PGLOKXOV}

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	2026-07-04T14:59:27.081176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e00c72a583be3459204c8fde65b9577574a3d8ae810dcc93cb3dbd7ea3d05abe

Aliases

arxiv: math/0505621 · arxiv_version: math/0505621v3 · doi: 10.48550/arxiv.math/0505621 · pith_short_12: 4AGHFJMDXY2F · pith_short_16: 4AGHFJMDXY2FSICM · pith_short_8: 4AGHFJMD

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/4AGHFJMDXY2FSICMR7PGLOKXOV \
  | 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: e00c72a583be3459204c8fde65b9577574a3d8ae810dcc93cb3dbd7ea3d05abe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecfc76b1dbba9ecba1f2a43e08ebc511a7e6184f2ea46569554b220dc286d570",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-05-28T15:09:43Z",
    "title_canon_sha256": "793c500974f20a69bc33a93588902ff5c9f015439582eb029c319b140c877076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505621",
    "kind": "arxiv",
    "version": 3
  }
}