Pith Number

pith:YI77XLRH

pith:2018:YI77XLRHZBMKETJ67GE7BZEKEC

not attested not anchored not stored refs pending

Iterated circle bundles and infranilmanifolds

Igor Belegradek

arxiv:1805.06585 v1 · 2018-05-17 · math.GT · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YI77XLRHZBMKETJ67GE7BZEKEC}

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	2026-05-18T00:15:43.971708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c23ffbae27c858a24d3ef989f0e48a20ac5928a7495e51e4e0fb4b8ce609009c

Aliases

arxiv: 1805.06585 · arxiv_version: 1805.06585v1 · doi: 10.48550/arxiv.1805.06585 · pith_short_12: YI77XLRHZBMK · pith_short_16: YI77XLRHZBMKETJ6 · pith_short_8: YI77XLRH

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/YI77XLRHZBMKETJ67GE7BZEKEC \
  | 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: c23ffbae27c858a24d3ef989f0e48a20ac5928a7495e51e4e0fb4b8ce609009c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "016160e9ec8ecd11256fe7bb2159e3780cfa42a64f8bd01b9603afa1f4211024",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-05-17T02:49:49Z",
    "title_canon_sha256": "1ec9cb929c6de8610bf3e7b356746ae1181b6458f01a62d6336ea0843019b665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06585",
    "kind": "arxiv",
    "version": 1
  }
}