Pith Number

pith:4ILQUA57

pith:2016:4ILQUA576VFKVB2GDZPGCWBEQQ

not attested not anchored not stored refs pending

Bulk-edge correspondence and the cobordism invariance of the index

Shin Hayashi

arxiv:1611.08073 v2 · 2016-11-24 · math-ph · math.KT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ILQUA576VFKVB2GDZPGCWBEQQ}

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	2026-05-18T00:19:09.080599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2170a03bff54aaa87461e5e6158248430d790b20b1e08967d9dce0b2fd723ee

Aliases

arxiv: 1611.08073 · arxiv_version: 1611.08073v2 · doi: 10.48550/arxiv.1611.08073 · pith_short_12: 4ILQUA576VFK · pith_short_16: 4ILQUA576VFKVB2G · pith_short_8: 4ILQUA57

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/4ILQUA576VFKVB2GDZPGCWBEQQ \
  | 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: e2170a03bff54aaa87461e5e6158248430d790b20b1e08967d9dce0b2fd723ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6fe284ec1acdcab674f2379af80c977367e97695124401b8f193c99595bd2f",
    "cross_cats_sorted": [
      "math.KT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-24T06:12:10Z",
    "title_canon_sha256": "565c11ace870e0977d107488ff855cc7b28f0111547dae539a15d488b6acfb03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08073",
    "kind": "arxiv",
    "version": 2
  }
}