Pith Number

pith:5ST5XVG4

pith:2015:5ST5XVG4XGRVOLLCXBCWS2O6US

not attested not anchored not stored refs pending

On the Markov inequality in the $L_2$-norm with Gegenbauer weight

Alexei Shadrin, Dragomir Aleksov, Geno Nikolov

arxiv:1510.03265 v1 · 2015-10-12 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ST5XVG4XGRVOLLCXBCWS2O6US}

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	2026-05-18T01:30:32.323780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca7dbd4dcb9a3572d62b8456969dea4bfd4595e3f9d8c9d67d416a6b550c6ec

Aliases

arxiv: 1510.03265 · arxiv_version: 1510.03265v1 · doi: 10.48550/arxiv.1510.03265 · pith_short_12: 5ST5XVG4XGRV · pith_short_16: 5ST5XVG4XGRVOLLC · pith_short_8: 5ST5XVG4

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/5ST5XVG4XGRVOLLCXBCWS2O6US \
  | 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: eca7dbd4dcb9a3572d62b8456969dea4bfd4595e3f9d8c9d67d416a6b550c6ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d5228d7174fabe5239a1d9ad4cbbecc911ed4b8c927bdf2b4cb87b0148200a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-12T13:00:27Z",
    "title_canon_sha256": "d72008d9e1efd60803440c5ad4931f4e7d0891e6d2254cdca0524e856bab7a59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03265",
    "kind": "arxiv",
    "version": 1
  }
}