Pith Number

pith:2E4SY46T

pith:2012:2E4SY46T6VCEGK4CJLAVV2BFYS

not attested not anchored not stored refs pending

Higher order Gr\"unwald approximations of fractional derivatives and fractional powers of operators

Boris Baeumer, Harish Sankaranarayanan, Mih\'aly Kov\'acs

arxiv:1210.2792 v1 · 2012-10-10 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2E4SY46T6VCEGK4CJLAVV2BFYS}

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	2026-05-18T01:20:04.033192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1392c73d3f544432b824ac15ae825c4bbbac574ca00afed943940a764849b2d

Aliases

arxiv: 1210.2792 · arxiv_version: 1210.2792v1 · doi: 10.48550/arxiv.1210.2792 · pith_short_12: 2E4SY46T6VCE · pith_short_16: 2E4SY46T6VCEGK4C · pith_short_8: 2E4SY46T

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/2E4SY46T6VCEGK4CJLAVV2BFYS \
  | 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: d1392c73d3f544432b824ac15ae825c4bbbac574ca00afed943940a764849b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62d3cc4e9cfd24b4be89248e58c84cdcb46cf4485300147f97c56ed6622815b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-10-10T02:46:26Z",
    "title_canon_sha256": "6d2af29dc393c14fa1564024e9631a812c0fa92c242d253a4eaa8ae57f5a6d10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2792",
    "kind": "arxiv",
    "version": 1
  }
}