Pith Number

pith:W5Z2IWJI

pith:2015:W5Z2IWJICAGY6D3AZO57I3OVJS

not attested not anchored not stored refs pending

Characterization of non-differentiable points in a function by Fractional derivative of Jumarrie type

Shantanu Das, Srijan Sengupta, Susmita Sarkar, Uttam Ghosh

arxiv:1505.06248 v1 · 2015-05-05 · 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{W5Z2IWJICAGY6D3AZO57I3OVJS}

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	2026-05-18T02:03:47.824669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b773a45928100d8f0f60cbbbf46dd54c8c1d7a8c68d7850be8b8ce74cf409fc7

Aliases

arxiv: 1505.06248 · arxiv_version: 1505.06248v1 · doi: 10.48550/arxiv.1505.06248 · pith_short_12: W5Z2IWJICAGY · pith_short_16: W5Z2IWJICAGY6D3A · pith_short_8: W5Z2IWJI

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/W5Z2IWJICAGY6D3AZO57I3OVJS \
  | 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: b773a45928100d8f0f60cbbbf46dd54c8c1d7a8c68d7850be8b8ce74cf409fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03d842394d2028f52e387a17f1d1fec08ff137933804218a078f143e24a408a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-05T14:26:09Z",
    "title_canon_sha256": "7b1d0004da06fc1fb7f12b462cce304a97c7261fc57be58d827b4ad5f8b43e26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06248",
    "kind": "arxiv",
    "version": 1
  }
}