Pith Number

pith:HOFJYGF2

pith:2012:HOFJYGF2AM5VB2FEUW5HBVL4K5

not attested not anchored not stored refs pending

Existence of asymptotic almost automorphic solutions of fractional integro differential equations with non local conditions

Gaston M. N'Guerekata, Syed Abbas

arxiv:1212.5798 v3 · 2012-12-23 · 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{HOFJYGF2AM5VB2FEUW5HBVL4K5}

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	2026-05-18T03:29:26.840637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b8a9c18ba033b50e8a4a5ba70d57c576a61ce56411e6cd2466b5438f5d1e2c9

Aliases

arxiv: 1212.5798 · arxiv_version: 1212.5798v3 · doi: 10.48550/arxiv.1212.5798 · pith_short_12: HOFJYGF2AM5V · pith_short_16: HOFJYGF2AM5VB2FE · pith_short_8: HOFJYGF2

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/HOFJYGF2AM5VB2FEUW5HBVL4K5 \
  | 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: 3b8a9c18ba033b50e8a4a5ba70d57c576a61ce56411e6cd2466b5438f5d1e2c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "851f90f86c71302081632140195bf8ad12a79bc977401a16cdf9f8ab6343b4e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-23T14:13:48Z",
    "title_canon_sha256": "b96f1189f06bf072f00399b82173d61ad098cd3b03cf07e7605189b2a7264f94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5798",
    "kind": "arxiv",
    "version": 3
  }
}