Pith Number

pith:4TXCVTFS

pith:2019:4TXCVTFSTCZQEQM2HADA6B74HL

not attested not anchored not stored refs pending

Irreducible twisted Heisenberg-Virasoro modules from tensor products

Haibo Chen, Yucai Su

arxiv:1904.01170 v1 · 2019-04-02 · 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{4TXCVTFSTCZQEQM2HADA6B74HL}

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	2026-05-17T23:49:35.689912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ee2accb298b302419a38060f07fc3adb0c2be55c722691c7a03b6b2f34b322

Aliases

arxiv: 1904.01170 · arxiv_version: 1904.01170v1 · doi: 10.48550/arxiv.1904.01170 · pith_short_12: 4TXCVTFSTCZQ · pith_short_16: 4TXCVTFSTCZQEQM2 · pith_short_8: 4TXCVTFS

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/4TXCVTFSTCZQEQM2HADA6B74HL \
  | 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: e4ee2accb298b302419a38060f07fc3adb0c2be55c722691c7a03b6b2f34b322

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23fab20b2e34c718f337042d3899aa561b4de42b98a1f14b7b1db2bf1789f028",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-04-02T01:59:38Z",
    "title_canon_sha256": "71614b686ba4f7b01468d293bdb5963209e9ab0fa76bd3aac2095bd5d600ea23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01170",
    "kind": "arxiv",
    "version": 1
  }
}