Pith Number

pith:3B4BSNNO

pith:2019:3B4BSNNOQNZJYKUIJSJGL7PKXM

not attested not anchored not stored refs pending

Structures of cobordism-like modules induced from generic maps of codimension -2

Naoki Kitazawa

arxiv:1901.04994 v1 · 2019-01-14 · math.GT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3B4BSNNOQNZJYKUIJSJGL7PKXM}

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	2026-05-17T23:56:12.259645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8781935ae83729c2a884c9265fdeabb2fe936ec31a22115020e92e70bf0b248

Aliases

arxiv: 1901.04994 · arxiv_version: 1901.04994v1 · doi: 10.48550/arxiv.1901.04994 · pith_short_12: 3B4BSNNOQNZJ · pith_short_16: 3B4BSNNOQNZJYKUI · pith_short_8: 3B4BSNNO

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/3B4BSNNOQNZJYKUIJSJGL7PKXM \
  | 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: d8781935ae83729c2a884c9265fdeabb2fe936ec31a22115020e92e70bf0b248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83e3f054a575f63abe10547a8d23786e81a7d20b6d69801eaf9a3c7a11c3e81a",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-01-14T21:07:28Z",
    "title_canon_sha256": "0527ddea8b6e2b59e411d8b556e39a7bcb5720f189a947744bdda576a3cb62e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04994",
    "kind": "arxiv",
    "version": 1
  }
}