Pith Number

pith:E6672I62

pith:2012:E6672I62NT6SBFQK42U4O5S53D

not attested not anchored not stored refs pending

Analysis of Caputo impulsive fractional order differential equations with applications

Angelo Favini, Lakshman Mahto, Syed Abbas

arxiv:1205.3619 v1 · 2012-05-16 · 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{E6672I62NT6SBFQK42U4O5S53D}

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	2026-05-18T03:29:27.563523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27bdfd23da6cfd20960ae6a9c7765dd8d00d742dec3773898cb24f2947bb3a8b

Aliases

arxiv: 1205.3619 · arxiv_version: 1205.3619v1 · doi: 10.48550/arxiv.1205.3619 · pith_short_12: E6672I62NT6S · pith_short_16: E6672I62NT6SBFQK · pith_short_8: E6672I62

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/E6672I62NT6SBFQK42U4O5S53D \
  | 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: 27bdfd23da6cfd20960ae6a9c7765dd8d00d742dec3773898cb24f2947bb3a8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e689590df225f68eb5b20b8659e7c48b9a866531ee6cc5553aebf6cc2f33a17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-16T10:00:47Z",
    "title_canon_sha256": "12527741a8ab370222e9794221b5022cc02846974c5ce715f2856eced7ff157e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3619",
    "kind": "arxiv",
    "version": 1
  }
}