Pith Number

pith:OSRZU4PF

pith:2024:OSRZU4PF7265NOXRLF4QC6MCZB

not attested not anchored not stored refs pending

Orders and Fibering

Boris Okun, Kevin Schreve

arxiv:2403.16102 v3 · 2024-03-24 · math.GR · 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{OSRZU4PF7265NOXRLF4QC6MCZB}

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.

Cited by

1 paper in Pith

Some closed manifolds that do not fibre over the circle

Receipt and verification

First computed	2026-07-05T09:24:57.233523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74a39a71e5febdd6baf15979017982c869f727ca9562602c627e8036b389aa3e

Aliases

arxiv: 2403.16102 · arxiv_version: 2403.16102v3 · doi: 10.48550/arxiv.2403.16102 · pith_short_12: OSRZU4PF7265 · pith_short_16: OSRZU4PF7265NOXR · pith_short_8: OSRZU4PF

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/OSRZU4PF7265NOXRLF4QC6MCZB \
  | 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: 74a39a71e5febdd6baf15979017982c869f727ca9562602c627e8036b389aa3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f993dfa049bc3435c6f0f83c81992077e5fb4983d3c3b89a11b35ce483289b5",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-03-24T11:43:33Z",
    "title_canon_sha256": "c274b5ed4cf91df7e8d00e9468b0cef0e073bd2ba58577961f700e704c83ae05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.16102",
    "kind": "arxiv",
    "version": 3
  }
}