Pith Number

pith:4X6KSSJL

pith:2019:4X6KSSJLFWIMZ77CLZS5VLJVBE

not attested not anchored not stored refs pending

Hall algebras associated to complexes of fixed size

Haicheng Zhang

arxiv:1904.02400 v1 · 2019-04-04 · math.RT · math.QA · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4X6KSSJLFWIMZ77CLZS5VLJVBE}

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	2026-05-17T23:49:23.788522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5fca9492b2d90ccffe25e65daad3509104a5cab89ce48a55fa43d57c90b940e

Aliases

arxiv: 1904.02400 · arxiv_version: 1904.02400v1 · doi: 10.48550/arxiv.1904.02400 · pith_short_12: 4X6KSSJLFWIM · pith_short_16: 4X6KSSJLFWIMZ77C · pith_short_8: 4X6KSSJL

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/4X6KSSJLFWIMZ77CLZS5VLJVBE \
  | 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: e5fca9492b2d90ccffe25e65daad3509104a5cab89ce48a55fa43d57c90b940e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a8174ec36030ae7099459aecf127f62cf8c6b1f7bfd35c13b0c6dfed5689d7e",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-04-04T08:15:06Z",
    "title_canon_sha256": "7bc1c9df9ae77facb4a1b105903b6552fe8f932bfd7738db8e2c1c1f110dc08b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02400",
    "kind": "arxiv",
    "version": 1
  }
}