Pith Number

pith:UZSZUPLR

pith:2023:UZSZUPLRSVEGK2VZLM2ELULN5F

not attested not anchored not stored refs pending

Applications of Gorenstein projective $\tau$-rigid modules

Hui Liu, Xiaojin Zhang, Yingying Zhang

arxiv:2312.15586 v2 · 2023-12-25 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZSZUPLRSVEGK2VZLM2ELULN5F}

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	2026-07-05T07:28:47.860929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6659a3d719548656ab95b3445d16de9663a6beb3fe423a9efe95eb4999779ae

Aliases

arxiv: 2312.15586 · arxiv_version: 2312.15586v2 · doi: 10.48550/arxiv.2312.15586 · pith_short_12: UZSZUPLRSVEG · pith_short_16: UZSZUPLRSVEGK2VZ · pith_short_8: UZSZUPLR

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/UZSZUPLRSVEGK2VZLM2ELULN5F \
  | 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: a6659a3d719548656ab95b3445d16de9663a6beb3fe423a9efe95eb4999779ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "144c3f59f9d8d8a856c9a5060af05ce36332f765d7ed0dc5a60c6e6ddbd771ad",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2023-12-25T02:04:27Z",
    "title_canon_sha256": "c73f391175089723b2b3218f8fb4f95a138fcda710b48e20c022665f553b65cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.15586",
    "kind": "arxiv",
    "version": 2
  }
}