Pith Number

pith:4TLPTNFO

pith:2007:4TLPTNFO63Y2ASKGUKZZG7M5M3

not attested not anchored not stored refs pending

Semiclassical analysis of Wigner $3j$-symbol

Hal M. Haggard, Liang Yu, Robert G. Littlejohn, Vincenzo Aquilanti

arxiv:quant-ph/0703104 v1 · 2007-03-13 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TLPTNFO63Y2ASKGUKZZG7M5M3}

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	2026-05-18T02:56:42.732784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d6f9b4aef6f1a04946a2b3937d9d66e312f7a7d8355e7d2618d74753b1633e

Aliases

arxiv: quant-ph/0703104 · arxiv_version: quant-ph/0703104v1 · doi: 10.48550/arxiv.quant-ph/0703104 · pith_short_12: 4TLPTNFO63Y2 · pith_short_16: 4TLPTNFO63Y2ASKG · pith_short_8: 4TLPTNFO

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/4TLPTNFO63Y2ASKGUKZZG7M5M3 \
  | 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: e4d6f9b4aef6f1a04946a2b3937d9d66e312f7a7d8355e7d2618d74753b1633e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3fcb4ab6585279150226412a9df999b68ec508950e753da9f36bce067d416db",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-03-13T15:31:19Z",
    "title_canon_sha256": "191a9c89d574063a2e949bd18d1d9f9fb0391417ebee5bc5c6b215ed3c34109a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0703104",
    "kind": "arxiv",
    "version": 1
  }
}