Pith Number

pith:S3TGY73O

pith:2012:S3TGY73OMFPAXVZ4FU5KN3A6CS

not attested not anchored not stored refs pending

On Minc's sheltered middle path

Andreas Zastrow, Du\v{s}an Repov\v{s}, \v{Z}iga Virk, Witold Rosicki

arxiv:1206.4495 v1 · 2012-06-20 · 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{S3TGY73OMFPAXVZ4FU5KN3A6CS}

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	2026-05-18T03:53:05.716958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96e66c7f6e615e0bd73c2d3aa6ec1e14ac3731825dcc4c94b602dc48b9b7d559

Aliases

arxiv: 1206.4495 · arxiv_version: 1206.4495v1 · doi: 10.48550/arxiv.1206.4495 · pith_short_12: S3TGY73OMFPA · pith_short_16: S3TGY73OMFPAXVZ4 · pith_short_8: S3TGY73O

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/S3TGY73OMFPAXVZ4FU5KN3A6CS \
  | 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: 96e66c7f6e615e0bd73c2d3aa6ec1e14ac3731825dcc4c94b602dc48b9b7d559

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61cf1ba63a4678d983caa102233bfc59093186bb62dc98884eda03f2c2a3d01a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-06-20T13:51:55Z",
    "title_canon_sha256": "d5ab347f23577e0e143625f161c36eef5734d2834ed086194058c92567d38695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4495",
    "kind": "arxiv",
    "version": 1
  }
}