Pith Number

pith:ONGYT24F

pith:2018:ONGYT24FRGBIN2YZ335O47BB5T

not attested not anchored not stored refs pending

Which circle bundles can be triangulated over $\partial \Delta^3$?

N. Mn\"ev

arxiv:1807.06842 v2 · 2018-07-18 · math.GT · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ONGYT24FRGBIN2YZ335O47BB5T}

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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

Minimal triangulations of circle bundles, circular permutations and binary Chern cocycle

Receipt and verification

First computed	2026-05-18T00:10:09.745177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

734d89eb85898286eb19defaee7c21ecd7bb0c18e0a4615f36a6d2ad4786715f

Aliases

arxiv: 1807.06842 · arxiv_version: 1807.06842v2 · doi: 10.48550/arxiv.1807.06842 · pith_short_12: ONGYT24FRGBI · pith_short_16: ONGYT24FRGBIN2YZ · pith_short_8: ONGYT24F

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/ONGYT24FRGBIN2YZ335O47BB5T \
  | 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: 734d89eb85898286eb19defaee7c21ecd7bb0c18e0a4615f36a6d2ad4786715f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "903adff990831830877d73fd5975bb3ba29c75835b4c53e31646f4129c28beaa",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-07-18T10:12:09Z",
    "title_canon_sha256": "b5a07c7085ee909724a07a59af26dd6ef6967309cd49930de9cc1f216f1c644b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06842",
    "kind": "arxiv",
    "version": 2
  }
}