Pith Number

pith:YKPCOXDC

pith:2013:YKPCOXDC7NVJTC766L3YR6K2SG

not attested not anchored not stored refs pending

Jordan tori for a torsion free abelian group

Malihe Yousofzadeh, Saeid Azam, Yoji Yoshii

arxiv:1312.1837 v1 · 2013-12-06 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKPCOXDC7NVJTC766L3YR6K2SG}

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	2026-05-18T03:05:19.635856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c29e275c62fb6a998bfef2f788f95a91840392bd904e707fd98424faa2b1c242

Aliases

arxiv: 1312.1837 · arxiv_version: 1312.1837v1 · doi: 10.48550/arxiv.1312.1837 · pith_short_12: YKPCOXDC7NVJ · pith_short_16: YKPCOXDC7NVJTC76 · pith_short_8: YKPCOXDC

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/YKPCOXDC7NVJTC766L3YR6K2SG \
  | 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: c29e275c62fb6a998bfef2f788f95a91840392bd904e707fd98424faa2b1c242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51e42f3e5b399ebe6969e9dedf622025b8676efb3f9b43379c0243fdbf1c9c58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-12-06T12:15:34Z",
    "title_canon_sha256": "68be0252e33b27d6e7b09b89fb4c8c33b7d850adb07f6ad345c96ab727999ec5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1837",
    "kind": "arxiv",
    "version": 1
  }
}