Pith Number

pith:2RFA44HV

pith:2011:2RFA44HVNTE7FFBAUDQNTTTP3D

not attested not anchored not stored refs pending

Graded Hopf Maps and Fuzzy Superspheres

Kazuki Hasebe

arxiv:1106.5077 v2 · 2011-06-24 · hep-th · math-ph · math.MP · 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{2RFA44HVNTE7FFBAUDQNTTTP3D}

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.

Cited by

1 paper in Pith

dS$^4$ Metamorphosis

Receipt and verification

First computed	2026-05-18T02:01:30.834570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d44a0e70f56cc9f29420a0e0d9ce6fd8c47b00617df6be7f45ceade85d519ab7

Aliases

arxiv: 1106.5077 · arxiv_version: 1106.5077v2 · doi: 10.48550/arxiv.1106.5077 · pith_short_12: 2RFA44HVNTE7 · pith_short_16: 2RFA44HVNTE7FFBA · pith_short_8: 2RFA44HV

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/2RFA44HVNTE7FFBAUDQNTTTP3D \
  | 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: d44a0e70f56cc9f29420a0e0d9ce6fd8c47b00617df6be7f45ceade85d519ab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99db7f3cef28a3ba5677d925f1c759d90bf26dc53611b826a2eb4a9689fde60e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-06-24T22:28:06Z",
    "title_canon_sha256": "1c138941ac5f564d2555a314b25d27a557e2969026c5f3932ddf5133995e954e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5077",
    "kind": "arxiv",
    "version": 2
  }
}