Pith Number

pith:OJQ6QBIK

pith:2017:OJQ6QBIKHTPW4U2NOZHIR4FKYI

not attested not anchored not stored refs pending

Geometric cycles and characteristic classes of manifold bundles

Bena Tshishiku

arxiv:1711.03139 v4 · 2017-11-08 · 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{OJQ6QBIKHTPW4U2NOZHIR4FKYI}

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	2026-07-05T01:51:35.151559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7261e8050a3cdf6e534d764e88f0aac21a163fa162840dd3e489d37dd36b87e0

Aliases

arxiv: 1711.03139 · arxiv_version: 1711.03139v4 · doi: 10.48550/arxiv.1711.03139 · pith_short_12: OJQ6QBIKHTPW · pith_short_16: OJQ6QBIKHTPW4U2N · pith_short_8: OJQ6QBIK

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/OJQ6QBIKHTPW4U2NOZHIR4FKYI \
  | 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: 7261e8050a3cdf6e534d764e88f0aac21a163fa162840dd3e489d37dd36b87e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "030017a9a4de5a3e270aec225b4f5bbb845eddf288fc2ee9ae5fd8a434c31798",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-11-08T20:05:57Z",
    "title_canon_sha256": "76fc0f11f5dbcd8ee706f788f8eaf8455bfb359150611140085da7ab4321642c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03139",
    "kind": "arxiv",
    "version": 4
  }
}