Pith Number

pith:YUYAYUKI

pith:2005:YUYAYUKIOK7ZN4RSJYH3ARSN5Z

not attested not anchored not stored refs pending

Metric Cotype

Assaf Naor, Manor Mendel

arxiv:math/0506201 v5 · 2005-06-10 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YUYAYUKIOK7ZN4RSJYH3ARSN5Z}

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	2026-05-18T03:40:49.966750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5300c514872bf96f2324e0fb0464dee49caa45334b3d41e4f84d32d99c499ca

Aliases

arxiv: math/0506201 · arxiv_version: math/0506201v5 · doi: 10.48550/arxiv.math/0506201 · pith_short_12: YUYAYUKIOK7Z · pith_short_16: YUYAYUKIOK7ZN4RS · pith_short_8: YUYAYUKI

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/YUYAYUKIOK7ZN4RSJYH3ARSN5Z \
  | 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: c5300c514872bf96f2324e0fb0464dee49caa45334b3d41e4f84d32d99c499ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b3c03b84abca56169cd7d72f991e900ece1d524c10d81aec12548ce6883a448",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2005-06-10T18:04:11Z",
    "title_canon_sha256": "568f3510528b0ef7174cf6b7e33780ff42d018635232b00de70cd428eab40b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506201",
    "kind": "arxiv",
    "version": 5
  }
}