Pith Number

pith:NR7QXH3L

pith:2011:NR7QXH3LSP4O33QWKX2PFNINMN

not attested not anchored not stored refs pending

Moments and the Range of the Derivative

Eugen J. Ionascu, Richard Stephens

arxiv:1105.1373 v1 · 2011-05-06 · 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{NR7QXH3LSP4O33QWKX2PFNINMN}

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	2026-05-18T04:22:39.602704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c7f0b9f6b93f8edee1655f4f2b50d636d6724df20ec38d9e6fbbf758857ebba

Aliases

arxiv: 1105.1373 · arxiv_version: 1105.1373v1 · doi: 10.48550/arxiv.1105.1373 · pith_short_12: NR7QXH3LSP4O · pith_short_16: NR7QXH3LSP4O33QW · pith_short_8: NR7QXH3L

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/NR7QXH3LSP4O33QWKX2PFNINMN \
  | 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: 6c7f0b9f6b93f8edee1655f4f2b50d636d6724df20ec38d9e6fbbf758857ebba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ea8be935e0b5caa74617a2660a00e0a1ee9748c6f95ddd9d4f4d3f53e696a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-06T18:48:36Z",
    "title_canon_sha256": "e82cd8df4965d925ebdc0b6800c91a2f1fb97621bee2726b39337ce9eba9ffbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1373",
    "kind": "arxiv",
    "version": 1
  }
}