Pith Number

pith:Z7N77GOI

pith:2013:Z7N77GOIR5NQTTA4UTZXVVCD4O

not attested not anchored not stored refs pending

On interval based generalizations of absolute continuity for functions on $\mathbb{R}^n$

Beata Randrianantoanina, Huaqiang Xu, Michael Dymond

arxiv:1306.4291 v2 · 2013-06-18 · 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{Z7N77GOIR5NQTTA4UTZXVVCD4O}

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	2026-05-18T02:55:11.341664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfdbff99c88f5b09cc1ca4f37ad443e3809a95bec2988d88ff7abdff51a95224

Aliases

arxiv: 1306.4291 · arxiv_version: 1306.4291v2 · doi: 10.48550/arxiv.1306.4291 · pith_short_12: Z7N77GOIR5NQ · pith_short_16: Z7N77GOIR5NQTTA4 · pith_short_8: Z7N77GOI

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/Z7N77GOIR5NQTTA4UTZXVVCD4O \
  | 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: cfdbff99c88f5b09cc1ca4f37ad443e3809a95bec2988d88ff7abdff51a95224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b333d12091cd2aae0af2b4b5ae859c4cd1dc2a3542ba427746aa8e93b8d56816",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-18T18:40:10Z",
    "title_canon_sha256": "c11de4dc5882029e740aee01841dedaa1c53aa23f9f5afb393ef67e9a6e1dcbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4291",
    "kind": "arxiv",
    "version": 2
  }
}