Pith Number

pith:MLAY5DBV

pith:2016:MLAY5DBVV4NTW4B3HYGTZOHOPI

not attested not anchored not stored refs pending

Repetitive equivalences and good Wakamatsu-tilting modules

Jiaqun Wei

arxiv:1601.01390 v1 · 2016-01-07 · math.RT · math.AG · math.CT · math.KT · 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{MLAY5DBVV4NTW4B3HYGTZOHOPI}

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	2026-05-18T01:23:15.571356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62c18e8c35af1b3b703b3e0d3cb8ee7a0071ce3e92ab4e9ff2a8f45c4067748a

Aliases

arxiv: 1601.01390 · arxiv_version: 1601.01390v1 · doi: 10.48550/arxiv.1601.01390 · pith_short_12: MLAY5DBVV4NT · pith_short_16: MLAY5DBVV4NTW4B3 · pith_short_8: MLAY5DBV

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/MLAY5DBVV4NTW4B3HYGTZOHOPI \
  | 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: 62c18e8c35af1b3b703b3e0d3cb8ee7a0071ce3e92ab4e9ff2a8f45c4067748a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5bddadb8b4727886fde1399ec1b86e92f1410ff12596ccc74664760bea41e05",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT",
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-01-07T03:50:59Z",
    "title_canon_sha256": "9fdeb9f282e4c7c16eb78729cd60a71fcd405a39343ed95874b746400b7efbf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01390",
    "kind": "arxiv",
    "version": 1
  }
}