Pith Number

pith:JBYRLZRQ

pith:2015:JBYRLZRQ3PNMV3ZQ64IUTVFXMS

not attested not anchored not stored refs pending

Half-liberated real spheres and their subspaces

Julien Bichon

arxiv:1506.07658 v1 · 2015-06-25 · math.OA · 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{JBYRLZRQ3PNMV3ZQ64IUTVFXMS}

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	2026-05-18T01:38:51.198341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

487115e630dbdacaef30f71149d4b764aa067d857ad5e6d202b41cd10e0a017f

Aliases

arxiv: 1506.07658 · arxiv_version: 1506.07658v1 · doi: 10.48550/arxiv.1506.07658 · pith_short_12: JBYRLZRQ3PNM · pith_short_16: JBYRLZRQ3PNMV3ZQ · pith_short_8: JBYRLZRQ

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/JBYRLZRQ3PNMV3ZQ64IUTVFXMS \
  | 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: 487115e630dbdacaef30f71149d4b764aa067d857ad5e6d202b41cd10e0a017f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47a4dd5227e385bf4e2f9714367b1c7df5ae5a6053c636f7eec814d37e17c3ec",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-06-25T08:12:32Z",
    "title_canon_sha256": "985f3ad81f92481dd62c0b41f7f87b190d000d57a72427123fe44fe2e73984a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07658",
    "kind": "arxiv",
    "version": 1
  }
}