Pith Number

pith:SAGY6DZ6

pith:1999:SAGY6DZ6D4QQQIVPUWMHJTSHHD

not attested not anchored not stored refs pending

Hopf Map and Quantization on Sphere

H. Ikemori, H. Otsu, S. Kitakado, T. Sato

arxiv:hep-th/9911053 v1 · 1999-11-09 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SAGY6DZ6D4QQQIVPUWMHJTSHHD}

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	2026-07-04T16:15:01.440682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

900d8f0f3e1f210822afa59874ce4738f65db30afceaa77eeced7778d570228a

Aliases

arxiv: hep-th/9911053 · arxiv_version: hep-th/9911053v1 · doi: 10.48550/arxiv.hep-th/9911053 · pith_short_12: SAGY6DZ6D4QQ · pith_short_16: SAGY6DZ6D4QQQIVP · pith_short_8: SAGY6DZ6

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/SAGY6DZ6D4QQQIVPUWMHJTSHHD \
  | 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: 900d8f0f3e1f210822afa59874ce4738f65db30afceaa77eeced7778d570228a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adced81c8e8ef4ee54d28ba70067dc4ceedddab199e084ae8062ad6237555471",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-11-09T03:06:33Z",
    "title_canon_sha256": "505fe9eabe424aa9c28bfb0974bb3828adcd815db3b25d6be1c595acf734317a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9911053",
    "kind": "arxiv",
    "version": 1
  }
}