Pith Number

pith:64Q3GFVY

pith:2012:64Q3GFVY3PX5VW4QT7SOM2KX6I

not attested not anchored not stored refs pending

The notion of abstract Manifold: a pedagogical approach

K. Kanakoglou

arxiv:1204.2191 v1 · 2012-04-10 · math-ph · math.DG · math.GM · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64Q3GFVY3PX5VW4QT7SOM2KX6I}

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	2026-05-18T03:58:12.234399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f721b316b8dbefdadb909fe4e66957f226f2edd84df9e20f199be0754954680b

Aliases

arxiv: 1204.2191 · arxiv_version: 1204.2191v1 · doi: 10.48550/arxiv.1204.2191 · pith_short_12: 64Q3GFVY3PX5 · pith_short_16: 64Q3GFVY3PX5VW4Q · pith_short_8: 64Q3GFVY

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/64Q3GFVY3PX5VW4QT7SOM2KX6I \
  | 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: f721b316b8dbefdadb909fe4e66957f226f2edd84df9e20f199be0754954680b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7581e6b8d6ad91cad1ba1ce61b0277a8fc4cd5f2414896dcda845a48dd1e3ef0",
    "cross_cats_sorted": [
      "math.DG",
      "math.GM",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-10T15:29:08Z",
    "title_canon_sha256": "a113964683101e81ac69efb36475d7623ee083c832a50fe66cc1689f01dbcb8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2191",
    "kind": "arxiv",
    "version": 1
  }
}