Pith Number

pith:OAW6I3FW

pith:2016:OAW6I3FWWVBYLQKYH5XIJ7UDEK

not attested not anchored not stored refs pending

Fractional Differential Equations with Periodic Boundary Conditions of Constant Ratio

Anwarrud Din, Shah Faisal

arxiv:1612.03445 v1 · 2016-12-11 · 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{OAW6I3FWWVBYLQKYH5XIJ7UDEK}

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	2026-05-18T00:55:19.214911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

702de46cb6b54385c1583f6e84fe83228eb34a61453969ee54239781f648ca0d

Aliases

arxiv: 1612.03445 · arxiv_version: 1612.03445v1 · doi: 10.48550/arxiv.1612.03445 · pith_short_12: OAW6I3FWWVBY · pith_short_16: OAW6I3FWWVBYLQKY · pith_short_8: OAW6I3FW

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/OAW6I3FWWVBYLQKYH5XIJ7UDEK \
  | 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: 702de46cb6b54385c1583f6e84fe83228eb34a61453969ee54239781f648ca0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0f5e9db7708776e37891de9862d977d5217d4981cc1f410b3bfad5ee9e94e58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-11T18:01:57Z",
    "title_canon_sha256": "ae7c68d98dfb2f4aff0e37daecc6b481604c1bde3b30f015e3778474ea17dfaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03445",
    "kind": "arxiv",
    "version": 1
  }
}