Pith Number

pith:KHZGOLWT

pith:2016:KHZGOLWTJI3VVEPIMVPP6GLK6Y

not attested not anchored not stored refs pending

Bott Periodicity, Submanifolds, and Vector Bundles

Bernhard Hanke, Jost Eschenburg

arxiv:1610.04385 v2 · 2016-10-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHZGOLWTJI3VVEPIMVPP6GLK6Y}

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	2026-05-18T01:00:59.710893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f2672ed34a375a91e8655eff196af6037ddcc149cfeff03a76e191b1b74453

Aliases

arxiv: 1610.04385 · arxiv_version: 1610.04385v2 · doi: 10.48550/arxiv.1610.04385 · pith_short_12: KHZGOLWTJI3V · pith_short_16: KHZGOLWTJI3VVEPI · pith_short_8: KHZGOLWT

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/KHZGOLWTJI3VVEPIMVPP6GLK6Y \
  | 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: 51f2672ed34a375a91e8655eff196af6037ddcc149cfeff03a76e191b1b74453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b30377bc2839f49958963b7fb1150220bc08f613a821f8fc6a1acb071ea1fc0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-10-14T09:56:02Z",
    "title_canon_sha256": "b19dc53fce0b91adfcb95f8441069e58968da54a0d0aef4a2aae14f7f9aa6be8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04385",
    "kind": "arxiv",
    "version": 2
  }
}