Pith Number

pith:DV5GZPFI

pith:2012:DV5GZPFIN4ATOGOCTP36V4YO6H

not attested not anchored not stored refs pending

Decomposition of torsion pairs on module categories

Fan Kong, Keyan Song, Pu Zhang

arxiv:1205.1324 v1 · 2012-05-07 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DV5GZPFIN4ATOGOCTP36V4YO6H}

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	2026-05-18T03:56:11.465307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d7a6cbca86f013719c29bf7eaf30ef1ce998d81c1006f2082a723a1091b319a

Aliases

arxiv: 1205.1324 · arxiv_version: 1205.1324v1 · doi: 10.48550/arxiv.1205.1324 · pith_short_12: DV5GZPFIN4AT · pith_short_16: DV5GZPFIN4ATOGOC · pith_short_8: DV5GZPFI

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/DV5GZPFIN4ATOGOCTP36V4YO6H \
  | 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: 1d7a6cbca86f013719c29bf7eaf30ef1ce998d81c1006f2082a723a1091b319a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1d2627916003efdb638ce0587a11a291802221052cbeffb7901bf6ab9f26d8c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-05-07T08:55:32Z",
    "title_canon_sha256": "8d732c8714d7a15a342d948d48d0bbeca5c63e6f3ea6f804a35eb092cec28756"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1324",
    "kind": "arxiv",
    "version": 1
  }
}