Pith Number

pith:ULSNKM5V

pith:2016:ULSNKM5VZJYYQFKX3JE5C4LKDA

not attested not anchored not stored refs pending

$\phi$-coordinated modules for quantum vertex algebras and associative algebras

Haisheng Li

arxiv:1607.00608 v1 · 2016-07-03 · 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{ULSNKM5VZJYYQFKX3JE5C4LKDA}

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	2026-05-18T01:11:34.626932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2e4d533b5ca71881557da49d1716a180a6247898733555a10c47b97cb8806f0

Aliases

arxiv: 1607.00608 · arxiv_version: 1607.00608v1 · doi: 10.48550/arxiv.1607.00608 · pith_short_12: ULSNKM5VZJYY · pith_short_16: ULSNKM5VZJYYQFKX · pith_short_8: ULSNKM5V

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/ULSNKM5VZJYYQFKX3JE5C4LKDA \
  | 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: a2e4d533b5ca71881557da49d1716a180a6247898733555a10c47b97cb8806f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e446da90a19918a735f873502722d6c918ea2e35abfc1d9afc5dfedce6ccc210",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-07-03T07:45:50Z",
    "title_canon_sha256": "ab20351b8382fe2c7097752342b91ca3eb235c6025b11c0cb2a356d1d6f2d50e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00608",
    "kind": "arxiv",
    "version": 1
  }
}