Pith Number

pith:NBTEW5X4

pith:2018:NBTEW5X4EYSNJJ7Z6QKWKLIZHD

not attested not anchored not stored refs pending

Coarse compactifications and controlled products

Shin-ichi Oguni, Takamitsu Yamauchi, Tomohiro Fukaya

arxiv:1810.08720 v1 · 2018-10-20 · math.MG · 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{NBTEW5X4EYSNJJ7Z6QKWKLIZHD}

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	2026-05-18T00:02:43.713191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68664b76fc2624d4a7f9f415652d1938c3d3ad31fd1051114b9e9608119f3d4e

Aliases

arxiv: 1810.08720 · arxiv_version: 1810.08720v1 · doi: 10.48550/arxiv.1810.08720 · pith_short_12: NBTEW5X4EYSN · pith_short_16: NBTEW5X4EYSNJJ7Z · pith_short_8: NBTEW5X4

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/NBTEW5X4EYSNJJ7Z6QKWKLIZHD \
  | 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: 68664b76fc2624d4a7f9f415652d1938c3d3ad31fd1051114b9e9608119f3d4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94b75612354ff0876c9f8a4be3291b094696a995c197a27ad3333abacea7d427",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-10-20T00:39:43Z",
    "title_canon_sha256": "e44c162384542abf196507e9b8713cf60430d4cdad679bea906f5faf694f0457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08720",
    "kind": "arxiv",
    "version": 1
  }
}