Pith Number

pith:L45R75FE

pith:2017:L45R75FEL4UYKPRC3WWZUO57YA

not attested not anchored not stored refs pending

Variance estimates and almost Euclidean structure

Grigoris Paouris, Petros Valettas

arxiv:1703.10244 v2 · 2017-03-29 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L45R75FEL4UYKPRC3WWZUO57YA}

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	2026-05-18T00:32:25.820571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f3b1ff4a45f29853e22ddad9a3bbfc01ebbd9b8abae35211d9ff1f70eae8a16

Aliases

arxiv: 1703.10244 · arxiv_version: 1703.10244v2 · doi: 10.48550/arxiv.1703.10244 · pith_short_12: L45R75FEL4UY · pith_short_16: L45R75FEL4UYKPRC · pith_short_8: L45R75FE

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/L45R75FEL4UYKPRC3WWZUO57YA \
  | 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: 5f3b1ff4a45f29853e22ddad9a3bbfc01ebbd9b8abae35211d9ff1f70eae8a16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce5b6f0e8ca8f8b2e1a65918188b8f08cdd39019295d6c14c00fd21bb20f872",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-29T20:50:51Z",
    "title_canon_sha256": "00d4aeef922138df58f8ae85e78e0e287587a89ca6271fbec3b4bbf2cb59f55d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10244",
    "kind": "arxiv",
    "version": 2
  }
}