Pith Number

pith:ZS7UJ7EV

pith:2017:ZS7UJ7EVLSNRYZFEL2RIO4IY5G

not attested not anchored not stored refs pending

Cauchy-Lipschitz theory for fractional multi-order dynamics -- State-transition matrices, Duhamel formulas and duality theorems

Lo\"ic Bourdin

arxiv:1707.02314 v1 · 2017-07-07 · 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{ZS7UJ7EVLSNRYZFEL2RIO4IY5G}

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	2026-05-18T00:40:39.556009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccbf44fc955c9b1c64a45ea2877118e984fe8bacfca92fef6d121e7bd1df5602

Aliases

arxiv: 1707.02314 · arxiv_version: 1707.02314v1 · doi: 10.48550/arxiv.1707.02314 · pith_short_12: ZS7UJ7EVLSNR · pith_short_16: ZS7UJ7EVLSNRYZFE · pith_short_8: ZS7UJ7EV

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/ZS7UJ7EVLSNRYZFEL2RIO4IY5G \
  | 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: ccbf44fc955c9b1c64a45ea2877118e984fe8bacfca92fef6d121e7bd1df5602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0412c7702dcd059403d09fe0a581ea1c7b038a03e84751066e0b3adfa7692a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-07-07T18:02:18Z",
    "title_canon_sha256": "0c3536ea5ff10bc62d66c2c9705c284e18cf937c8676cfd54d663f082f9b0314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02314",
    "kind": "arxiv",
    "version": 1
  }
}