Pith Number

pith:HJLC4O7H

pith:2018:HJLC4O7HWWWIISQADSXXJFDZHP

not attested not anchored not stored refs pending

Modified Ringel-Hall algebras, naive lattice algebras and lattice algebras

Ji Lin

arxiv:1808.04037 v1 · 2018-08-13 · math.RT · 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{HJLC4O7HWWWIISQADSXXJFDZHP}

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	2026-05-18T00:08:19.022875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a562e3be7b5ac844a001caf7494793bdc31f4c3643a2ee0f48eb988dd95d6c7

Aliases

arxiv: 1808.04037 · arxiv_version: 1808.04037v1 · doi: 10.48550/arxiv.1808.04037 · pith_short_12: HJLC4O7HWWWI · pith_short_16: HJLC4O7HWWWIISQA · pith_short_8: HJLC4O7H

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/HJLC4O7HWWWIISQADSXXJFDZHP \
  | 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: 3a562e3be7b5ac844a001caf7494793bdc31f4c3643a2ee0f48eb988dd95d6c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6795abb73ef8aafb1a8d2ba5decff82c4662f5b43c74cb4c993807e44c72712d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-08-13T01:42:48Z",
    "title_canon_sha256": "86b660fc72b8befbb222a73a7af8d7bcf8c87009aa25b2632983397191ced32b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04037",
    "kind": "arxiv",
    "version": 1
  }
}