Pith Number

pith:5MQX555E

pith:2019:5MQX555ELFVE5X4LBJJL4XBTMG

not attested not anchored not stored refs pending

Quasi-multiplicativity of typical cocycles

Kiho Park

arxiv:1903.03928 v2 · 2019-03-10 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MQX555ELFVE5X4LBJJL4XBTMG}

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	2026-07-05T00:48:14.077477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb217ef7a4596a4edf8b0a52be5c3361a6652d2281383dd9a8e0fcc47cbc2a07

Aliases

arxiv: 1903.03928 · arxiv_version: 1903.03928v2 · doi: 10.48550/arxiv.1903.03928 · pith_short_12: 5MQX555ELFVE · pith_short_16: 5MQX555ELFVE5X4L · pith_short_8: 5MQX555E

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/5MQX555ELFVE5X4LBJJL4XBTMG \
  | 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: eb217ef7a4596a4edf8b0a52be5c3361a6652d2281383dd9a8e0fcc47cbc2a07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26563e8e4d8f22c8e1d6fd1e5959d3dca7f2fc8a1e5d427e300cb53140da9d2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-03-10T05:59:32Z",
    "title_canon_sha256": "5c79c859c0dbdd4133dfb1d1bb2b2110c9151752136948932d290fa9e2922a47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03928",
    "kind": "arxiv",
    "version": 2
  }
}