Pith Number

pith:YUMNZYXT

pith:2021:YUMNZYXTIJLYDWYLLIXKCS7O6B

not attested not anchored not stored refs pending

Adjoint functors on the representation category of $\mathscr{OI}$

Liping Li, Wee Liang Gan

arxiv:2102.04638 v1 · 2021-02-09 · 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{YUMNZYXTIJLYDWYLLIXKCS7O6B}

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	2026-07-05T02:14:03.156424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c518dce2f3425781db0b5a2ea14beef0785452a9fb365f420da2760c57a25e94

Aliases

arxiv: 2102.04638 · arxiv_version: 2102.04638v1 · doi: 10.48550/arxiv.2102.04638 · pith_short_12: YUMNZYXTIJLY · pith_short_16: YUMNZYXTIJLYDWYL · pith_short_8: YUMNZYXT

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/YUMNZYXTIJLYDWYLLIXKCS7O6B \
  | 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: c518dce2f3425781db0b5a2ea14beef0785452a9fb365f420da2760c57a25e94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54857e2814cbcd0287fc01fe1093699c502bccea20a85bc9d6b394533e664af8",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-02-09T04:10:03Z",
    "title_canon_sha256": "b62800cdb2c6fa97f1c1c81550886b25bfef02f123623cfc683f1f97283cba53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.04638",
    "kind": "arxiv",
    "version": 1
  }
}