Pith Number

pith:JBXXBRNE

pith:2026:JBXXBRNE7KS2FQS7IJ3AKN735N

not attested not anchored not stored refs pending

Bailey pairs, Eichler integrals and unified Witten-Reshetikhin-Turaev invariants

Jeremy Lovejoy, Matthias Storzer, Robert Osburn

arxiv:2605.15740 v1 · 2026-05-15 · math.NT · math.GT · 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{JBXXBRNE7KS2FQS7IJ3AKN735N}

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	2026-05-20T00:05:47.932842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

486f70c5a4faa5a2c25f42760537fbeb7a9cfd5013d3fb7a5701c376c02f1087

Aliases

arxiv: 2605.15740 · arxiv_version: 2605.15740v1 · doi: 10.48550/arxiv.2605.15740 · pith_short_12: JBXXBRNE7KS2 · pith_short_16: JBXXBRNE7KS2FQS7 · pith_short_8: JBXXBRNE

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/JBXXBRNE7KS2FQS7IJ3AKN735N \
  | 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: 486f70c5a4faa5a2c25f42760537fbeb7a9cfd5013d3fb7a5701c376c02f1087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a26fcda2af9ac0d0f928f46131260c6b4a9c0e2053290fe9b4ed1da7f20e7c9",
    "cross_cats_sorted": [
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-15T08:50:37Z",
    "title_canon_sha256": "bd6c011a20f6aa023d445c5e0beb2a826883fedb8aacb8825f8e2915c734e75c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15740",
    "kind": "arxiv",
    "version": 1
  }
}