Pith Number

pith:XVXTLQFM

pith:2007:XVXTLQFMQ4OIYR6PTK2VFDWJKF

not attested not anchored not stored refs pending

Auslander-type conditions and cotorsion pairs

Osamu Iyama, Zhaoyong Huang

arxiv:math/0702492 v2 · 2007-02-16 · math.RA · 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{XVXTLQFMQ4OIYR6PTK2VFDWJKF}

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	2026-05-18T04:38:05.121932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd6f35c0ac871c8c47cf9ab5528ec9514f5ac11db9b4cd9755a2cc2b727a859d

Aliases

arxiv: math/0702492 · arxiv_version: math/0702492v2 · doi: 10.48550/arxiv.math/0702492 · pith_short_12: XVXTLQFMQ4OI · pith_short_16: XVXTLQFMQ4OIYR6P · pith_short_8: XVXTLQFM

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/XVXTLQFMQ4OIYR6PTK2VFDWJKF \
  | 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: bd6f35c0ac871c8c47cf9ab5528ec9514f5ac11db9b4cd9755a2cc2b727a859d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de4bdc32a4c003b7afbb43298e1e9b7d684fbb9e9bd8d43a7807242cd07bef49",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2007-02-16T17:11:07Z",
    "title_canon_sha256": "924b6344f7dbd99ecdc8f9262e1906ed8eeda99ed855b4a7f869b007de6d565f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702492",
    "kind": "arxiv",
    "version": 2
  }
}