Pith Number

pith:LP7J5EHU

pith:2018:LP7J5EHUQNKOR35CHCS5KGK2ZD

not attested not anchored not stored refs pending

Homological invariants of powers of fiber products

Hop D. Nguyen, Thanh Vu

arxiv:1803.04016 v3 · 2018-03-11 · 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{LP7J5EHUQNKOR35CHCS5KGK2ZD}

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	2026-05-17T23:45:10.001590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bfe9e90f48354e8efa238a5d5195ac8efdb5a978038116353221d6e19cb503e

Aliases

arxiv: 1803.04016 · arxiv_version: 1803.04016v3 · doi: 10.48550/arxiv.1803.04016 · pith_short_12: LP7J5EHUQNKO · pith_short_16: LP7J5EHUQNKOR35C · pith_short_8: LP7J5EHU

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/LP7J5EHUQNKOR35CHCS5KGK2ZD \
  | 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: 5bfe9e90f48354e8efa238a5d5195ac8efdb5a978038116353221d6e19cb503e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e91c9c2cbca450a25f6ccd9e1e709fe77a993c92787e5deb6d43effbc9151b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-03-11T19:10:20Z",
    "title_canon_sha256": "a701ada8213aaa72f15cef8a8007fcdeabf612c3ea539c651054edab60758272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04016",
    "kind": "arxiv",
    "version": 3
  }
}