Pith Number

pith:U2HGFT6B

pith:2007:U2HGFT6BVQSNJV2VMXZUGTP6J6

not attested not anchored not stored refs pending

Operator space Lp embedding theory I

Javier Parcet, Marius Junge

arxiv:0706.0550 v1 · 2007-06-04 · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2HGFT6BVQSNJV2VMXZUGTP6J6}

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	2026-07-04T15:01:39.864738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a68e62cfc1ac24d4d75565f3434dfe4fbbe6294765568c54e3644f10cf505293

Aliases

arxiv: 0706.0550 · arxiv_version: 0706.0550v1 · doi: 10.48550/arxiv.0706.0550 · pith_short_12: U2HGFT6BVQSN · pith_short_16: U2HGFT6BVQSNJV2V · pith_short_8: U2HGFT6B

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/U2HGFT6BVQSNJV2VMXZUGTP6J6 \
  | 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: a68e62cfc1ac24d4d75565f3434dfe4fbbe6294765568c54e3644f10cf505293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927aaa0c56f19346fc5b1ce9a8a97043da7f6df6468b962806bff01631e79b35",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2007-06-04T22:02:32Z",
    "title_canon_sha256": "5482175531954fef528fd204c5c8e0b5dd5a8fc5ac8960cdbecb4979bed47a7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0550",
    "kind": "arxiv",
    "version": 1
  }
}