Pith Number

pith:ZCFY2EGX

pith:2011:ZCFY2EGXPYJRA5F2ZTQX3RHLFX

not attested not anchored not stored refs pending

Inclusion Criteria for Subclasses of Functions and Gronwall's Inequality

A. Swaminathan, Mahnaz M. Nargesi, Rosihan M. Ali, V. Ravichandran

arxiv:1108.5421 v1 · 2011-08-27 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCFY2EGXPYJRA5F2ZTQX3RHLFX}

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	2026-05-18T04:14:37.543247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c88b8d10d77e131074bacce17dc4eb2deac3a1cba239e017d87c6fc93662812f

Aliases

arxiv: 1108.5421 · arxiv_version: 1108.5421v1 · doi: 10.48550/arxiv.1108.5421 · pith_short_12: ZCFY2EGXPYJR · pith_short_16: ZCFY2EGXPYJRA5F2 · pith_short_8: ZCFY2EGX

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/ZCFY2EGXPYJRA5F2ZTQX3RHLFX \
  | 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: c88b8d10d77e131074bacce17dc4eb2deac3a1cba239e017d87c6fc93662812f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fd7f255ec62cff25eae41db8f81a8caaf6ff50f75429f8834fed03b51feaaa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-08-27T05:13:00Z",
    "title_canon_sha256": "f9aa03fcfa75ee2736ee6209a3da844162215c606423bc7e927125faf880d745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5421",
    "kind": "arxiv",
    "version": 1
  }
}