Pith Number

pith:4UDDEESI

pith:2023:4UDDEESIZWRCOUGPLRIUIUOG5R

not attested not anchored not stored refs pending

Strong generation for module categories

Pat Lank, Ryo Takahashi, Souvik Dey

arxiv:2307.13675 v5 · 2023-07-25 · 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{4UDDEESIZWRCOUGPLRIUIUOG5R}

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.

Cited by

1 paper in Pith

Compact approximation and descent for algebraic stacks

Receipt and verification

First computed	2026-07-05T11:49:44.154364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e506321248cda22750cf5c514451c6ec6abc9d399a44eca58459fe04177d10bc

Aliases

arxiv: 2307.13675 · arxiv_version: 2307.13675v5 · doi: 10.48550/arxiv.2307.13675 · pith_short_12: 4UDDEESIZWRC · pith_short_16: 4UDDEESIZWRCOUGP · pith_short_8: 4UDDEESI

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/4UDDEESIZWRCOUGPLRIUIUOG5R \
  | 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: e506321248cda22750cf5c514451c6ec6abc9d399a44eca58459fe04177d10bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "036bc791838208835e766cc4249eab9ecd6a37116b20a1812648604c21ce34f6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-07-25T17:34:53Z",
    "title_canon_sha256": "4706a9aea2e85fa45544c3564261b769e7a49eec346231aeb58989aa76619e5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.13675",
    "kind": "arxiv",
    "version": 5
  }
}