Pith Number

pith:OA2MTXFT

pith:2016:OA2MTXFTFDSTZMUT2PAAF6OEKM

not attested not anchored not stored refs pending

An inductive machinery for representations of categories with shift functors

Liping Li, Wee Liang Gan

arxiv:1610.09081 v2 · 2016-10-28 · math.RT · 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{OA2MTXFTFDSTZMUT2PAAF6OEKM}

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	2026-05-18T00:45:58.516885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7034c9dcb328e53cb293d3c002f9c4530aedc359193d3b016bee21a73e549978

Aliases

arxiv: 1610.09081 · arxiv_version: 1610.09081v2 · doi: 10.48550/arxiv.1610.09081 · pith_short_12: OA2MTXFTFDST · pith_short_16: OA2MTXFTFDSTZMUT · pith_short_8: OA2MTXFT

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/OA2MTXFTFDSTZMUT2PAAF6OEKM \
  | 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: 7034c9dcb328e53cb293d3c002f9c4530aedc359193d3b016bee21a73e549978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffb286c5e0a4c9411672e7611d9bae223c65970b7d063d51f0e90adfdd80609d",
    "cross_cats_sorted": [
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-10-28T04:50:40Z",
    "title_canon_sha256": "34ffd681f423baebda348699a47f13559d8734b216046ade1f025181628ed4b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09081",
    "kind": "arxiv",
    "version": 2
  }
}