Pith Number

pith:LMFE4MTO

pith:2012:LMFE4MTOGSKED63CPLFY444UPP

not attested not anchored not stored refs pending

On the representation types of finite EI categories

Liping Li

arxiv:1206.3613 v2 · 2012-06-15 · 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{LMFE4MTOGSKED63CPLFY444UPP}

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	2026-05-18T03:07:54.989775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b0a4e326e349441fb627acb8e73947beef24ea61606aaf55321c5c5cd7ae8c7

Aliases

arxiv: 1206.3613 · arxiv_version: 1206.3613v2 · doi: 10.48550/arxiv.1206.3613 · pith_short_12: LMFE4MTOGSKE · pith_short_16: LMFE4MTOGSKED63C · pith_short_8: LMFE4MTO

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/LMFE4MTOGSKED63CPLFY444UPP \
  | 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: 5b0a4e326e349441fb627acb8e73947beef24ea61606aaf55321c5c5cd7ae8c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64a82f502199ab1583d8f82003ccc136d901a2e5d740975c784e4553828cc6a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-06-15T23:57:11Z",
    "title_canon_sha256": "6285201f40a9beea6dad1d2be149c19041677960d860e357bd2a382c74c9d4af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3613",
    "kind": "arxiv",
    "version": 2
  }
}