Pith Number

pith:QOKGKQYN

pith:2021:QOKGKQYN2YZY3KFLMSJF4BCC3U

not attested not anchored not stored refs pending

A comparison of dg algebra resolutions with prime residual characteristic

Josh Pollitz, Michael DeBellevue

arxiv:2108.12512 v2 · 2021-08-27 · 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{QOKGKQYN2YZY3KFLMSJF4BCC3U}

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	2026-07-05T05:30:25.411065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

839465430dd6338da8ab64925e0442dd29d626878a68b7444eab23a79084feaa

Aliases

arxiv: 2108.12512 · arxiv_version: 2108.12512v2 · doi: 10.48550/arxiv.2108.12512 · pith_short_12: QOKGKQYN2YZY · pith_short_16: QOKGKQYN2YZY3KFL · pith_short_8: QOKGKQYN

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/QOKGKQYN2YZY3KFLMSJF4BCC3U \
  | 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: 839465430dd6338da8ab64925e0442dd29d626878a68b7444eab23a79084feaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc6bc16c779f2493ca0723808d8a84ab8f8141bdbd57fa1fe020784c894e2169",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2021-08-27T21:44:29Z",
    "title_canon_sha256": "918d91d184ad6dbeaf321790e4652ee34136710518e97fff8e666a82db65ae1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.12512",
    "kind": "arxiv",
    "version": 2
  }
}