Pith Number

pith:MTU3HDW5

pith:2026:MTU3HDW5EHHDMXUDUBL7LV6YRE

not attested not anchored not stored refs pending

Asymptotics of complex $b$-$6j$ symbols

Tian Yang, Yunpeng Meng

arxiv:2606.03653 v1 · 2026-06-02 · math-ph · hep-th · math.GT · 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{MTU3HDW5EHHDMXUDUBL7LV6YRE}

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	2026-06-03T01:06:03.601450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64e9b38edd21ce365e83a057f5d7d88925579ecbd94366e7b3a043852e8dff4b

Aliases

arxiv: 2606.03653 · arxiv_version: 2606.03653v1 · doi: 10.48550/arxiv.2606.03653 · pith_short_12: MTU3HDW5EHHD · pith_short_16: MTU3HDW5EHHDMXUD · pith_short_8: MTU3HDW5

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/MTU3HDW5EHHDMXUDUBL7LV6YRE \
  | 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: 64e9b38edd21ce365e83a057f5d7d88925579ecbd94366e7b3a043852e8dff4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84b47237fa0857c9dd7d946c566b880dea6f9f3d247a4c645c392b63bf67f1d2",
    "cross_cats_sorted": [
      "hep-th",
      "math.GT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-02T13:43:21Z",
    "title_canon_sha256": "916f39dae9cdc5b4628e41421f4a9e7114029b8b9aeeb279737cafb612b7170d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03653",
    "kind": "arxiv",
    "version": 1
  }
}