Pith Number

pith:KBGLFUYJ

pith:2015:KBGLFUYJ25NS3LTE6U7RBC6FWF

not attested not anchored not stored refs pending

Characteristic classes of fiber bundles

Takahiro Matsuyuki, Yuji Terashima

arxiv:1511.06810 v2 · 2015-11-21 · 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{KBGLFUYJ25NS3LTE6U7RBC6FWF}

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	2026-05-18T00:58:49.094365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

504cb2d309d75b2dae64f53f108bc5b15577a76acd4169e42f7795053206f903

Aliases

arxiv: 1511.06810 · arxiv_version: 1511.06810v2 · doi: 10.48550/arxiv.1511.06810 · pith_short_12: KBGLFUYJ25NS · pith_short_16: KBGLFUYJ25NS3LTE · pith_short_8: KBGLFUYJ

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/KBGLFUYJ25NS3LTE6U7RBC6FWF \
  | 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: 504cb2d309d75b2dae64f53f108bc5b15577a76acd4169e42f7795053206f903

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5d2e932a69315fd1b8e4fdfcce504013d4ce12cd38ff966c33805fd862b2b62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-11-21T01:29:52Z",
    "title_canon_sha256": "17456df263a59edf81e0d48e0641bc9288b0fc74e65b5fabfdb1ab600bc7dba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06810",
    "kind": "arxiv",
    "version": 2
  }
}