Pith Number

pith:P6H7XMFO

pith:2018:P6H7XMFOWDB4JOMKKEXJJLPDCQ

not attested not anchored not stored refs pending

Generalized depth and associated primes in the perfect closure $R^\infty$

George Whelan

arxiv:1810.06028 v3 · 2018-10-14 · 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{P6H7XMFOWDB4JOMKKEXJJLPDCQ}

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	2026-05-18T00:02:48.901069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f8ffbb0aeb0c3c4b98a512e94ade314167d8b42b70308afe66a63815fce9d7c

Aliases

arxiv: 1810.06028 · arxiv_version: 1810.06028v3 · doi: 10.48550/arxiv.1810.06028 · pith_short_12: P6H7XMFOWDB4 · pith_short_16: P6H7XMFOWDB4JOMK · pith_short_8: P6H7XMFO

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/P6H7XMFOWDB4JOMKKEXJJLPDCQ \
  | 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: 7f8ffbb0aeb0c3c4b98a512e94ade314167d8b42b70308afe66a63815fce9d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0904186e95ace48f0676bc5de402675652bdca9d17f132cfeebeee6ab316fb4e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-10-14T12:38:49Z",
    "title_canon_sha256": "9c52e9bf49f6e0daf351888f76bbca4ee016328736ea1dbc85b483ff27ef99fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06028",
    "kind": "arxiv",
    "version": 3
  }
}