Pith Number

pith:Y7HTBLQ5

pith:2013:Y7HTBLQ5CMR3DQRAY6AJ5UVQZE

not attested not anchored not stored refs pending

Fixed-point index, the Incompatibility Theorem, and torus parametrization

Andrey M. Mishchenko

arxiv:1304.1211 v3 · 2013-04-03 · math.GN · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7HTBLQ5CMR3DQRAY6AJ5UVQZE}

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	2026-05-18T00:40:29.042956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7cf30ae1d1323b1c220c7809ed2b0c91380019ced12ea4293278b1f1d7e5ad8

Aliases

arxiv: 1304.1211 · arxiv_version: 1304.1211v3 · doi: 10.48550/arxiv.1304.1211 · pith_short_12: Y7HTBLQ5CMR3 · pith_short_16: Y7HTBLQ5CMR3DQRA · pith_short_8: Y7HTBLQ5

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/Y7HTBLQ5CMR3DQRAY6AJ5UVQZE \
  | 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: c7cf30ae1d1323b1c220c7809ed2b0c91380019ced12ea4293278b1f1d7e5ad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "174e71e9ba0e568fa11a2970d49af0d639e0da8ae0233148162baad05c5dbbbd",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-04-03T23:37:34Z",
    "title_canon_sha256": "a7f71a6facb0ee90ae9b0785f4501bdea4f7ffe33117fc92d8304235c52f9973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1211",
    "kind": "arxiv",
    "version": 3
  }
}