Pith Number

pith:DQMTK6VA

pith:2017:DQMTK6VAXPYN22R2XBRRIUWVWR

not attested not anchored not stored refs pending

Modified Ringel-Hall Algebras, Green's formula and Derived Hall Algebras

Ji Lin, Liangang Peng

arxiv:1707.08292 v2 · 2017-07-26 · 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{DQMTK6VAXPYN22R2XBRRIUWVWR}

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	2026-05-18T00:17:54.647850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c19357aa0bbf0dd6a3ab8631452d5b46c0e655770033e52eff3c2decf4aa0c5

Aliases

arxiv: 1707.08292 · arxiv_version: 1707.08292v2 · doi: 10.48550/arxiv.1707.08292 · pith_short_12: DQMTK6VAXPYN · pith_short_16: DQMTK6VAXPYN22R2 · pith_short_8: DQMTK6VA

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/DQMTK6VAXPYN22R2XBRRIUWVWR \
  | 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: 1c19357aa0bbf0dd6a3ab8631452d5b46c0e655770033e52eff3c2decf4aa0c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b544c0c17ac7632d33f6e85454e3cb1462dd40864af3c5dfe92d00ce7e283ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-07-26T05:35:12Z",
    "title_canon_sha256": "43e4df317c8f435c05db8d51d6464109577e6485604ff963ee5740299418673d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08292",
    "kind": "arxiv",
    "version": 2
  }
}