Pith Number

pith:U5BJOO5P

pith:2016:U5BJOO5PZK2MD2THWWL7WKE3CJ

not attested not anchored not stored refs pending

Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers

F.Thomas Farrell, Mauricio Bustamante, Yi Jiang

arxiv:1602.01373 v4 · 2016-02-03 · math.AT · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5BJOO5PZK2MD2THWWL7WKE3CJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:44:24.933038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a742973bafcab4c1ea67b597fb289b1274106c85e0394598df68973543c46edf

Aliases

arxiv: 1602.01373 · arxiv_version: 1602.01373v4 · doi: 10.48550/arxiv.1602.01373 · pith_short_12: U5BJOO5PZK2M · pith_short_16: U5BJOO5PZK2MD2TH · pith_short_8: U5BJOO5P

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/U5BJOO5PZK2MD2THWWL7WKE3CJ \
  | 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: a742973bafcab4c1ea67b597fb289b1274106c85e0394598df68973543c46edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7cbcc4396af44b63c4b665d83bb2d25c39957b478c9bd23ec9bfa1e875838c4",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-02-03T17:19:47Z",
    "title_canon_sha256": "c4c9b964a9322ccea58e2ac63f982d4b30377763943ca68ba401230f33478c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01373",
    "kind": "arxiv",
    "version": 4
  }
}