Pith Number

pith:NMJOULIM

pith:2014:NMJOULIMGHK3CIFZQVLSAKZ4SK

not attested not anchored not stored refs pending

The first Euler characteristics versus the homological degrees

Kazuho Ozeki, Shiro Goto

arxiv:1404.2455 v1 · 2014-04-09 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMJOULIMGHK3CIFZQVLSAKZ4SK}

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	2026-05-18T02:54:31.476683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b12ea2d0c31d5b120b98557202b3c928e7294a6e9cdd94e0eceb9e869bcf0d7

Aliases

arxiv: 1404.2455 · arxiv_version: 1404.2455v1 · doi: 10.48550/arxiv.1404.2455 · pith_short_12: NMJOULIMGHK3 · pith_short_16: NMJOULIMGHK3CIFZ · pith_short_8: NMJOULIM

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/NMJOULIMGHK3CIFZQVLSAKZ4SK \
  | 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: 6b12ea2d0c31d5b120b98557202b3c928e7294a6e9cdd94e0eceb9e869bcf0d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6969f2fa8b6daaa1fe190b117c19bda7ac9d09074c00c562cf923bb62a21ef0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-04-09T12:14:06Z",
    "title_canon_sha256": "17c9cb00cc12ba184eb9decc61bc763a9e7ebf8c43a6a9c96e6f727a7b27a91a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2455",
    "kind": "arxiv",
    "version": 1
  }
}