Pith Number

pith:6WBZ3Y4T

pith:2026:6WBZ3Y4TRHZBECFW4WRHLT5N5W

not attested not anchored not stored refs pending

Tau functions and correlation functions of the bosonic universal character hierarchy

Denghui Li, Jinzhou Liu, Zhaowen Yan

arxiv:2607.18780 v1 · 2026-07-21 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6WBZ3Y4TRHZBECFW4WRHLT5N5W}

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	2026-07-22T01:23:11.531047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5839de39389f21208b6e5a275cfaded9f55abb2530f1148d89fa47c28cad8d3

Aliases

arxiv: 2607.18780 · arxiv_version: 2607.18780v1 · doi: 10.48550/arxiv.2607.18780 · pith_short_12: 6WBZ3Y4TRHZB · pith_short_16: 6WBZ3Y4TRHZBECFW · pith_short_8: 6WBZ3Y4T

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/6WBZ3Y4TRHZBECFW4WRHLT5N5W \
  | 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: f5839de39389f21208b6e5a275cfaded9f55abb2530f1148d89fa47c28cad8d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b336bf8cb5f2359013d92f1fc39d1877d3893614637c2eae3fcac8c6e2a04c1f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-21T07:03:00Z",
    "title_canon_sha256": "a988b3b9d2e8dbeba1e65597c10a8089058a7629ecae8419df1b7c7a5d4eae69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18780",
    "kind": "arxiv",
    "version": 1
  }
}