Pith Number

pith:I2CKFI3Q

pith:2017:I2CKFI3QAJNC7LR23F3TUJIVW7

not attested not anchored not stored refs pending

Continuous and discrete one dimensional autonomous fractional ODEs

Jian-Guo Liu, Lei Li, Xiaoqian Xu, Yuanyuan Feng

arxiv:1703.02636 v2 · 2017-03-07 · 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{I2CKFI3QAJNC7LR23F3TUJIVW7}

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	2026-05-18T00:39:56.617914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4684a2a370025a2fae3ad9773a2515b7d9c8a35ee7e467cb048df3792ca5ee2a

Aliases

arxiv: 1703.02636 · arxiv_version: 1703.02636v2 · doi: 10.48550/arxiv.1703.02636 · pith_short_12: I2CKFI3QAJNC · pith_short_16: I2CKFI3QAJNC7LR2 · pith_short_8: I2CKFI3Q

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/I2CKFI3QAJNC7LR23F3TUJIVW7 \
  | 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: 4684a2a370025a2fae3ad9773a2515b7d9c8a35ee7e467cb048df3792ca5ee2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c92bf4dec14c4778c30f8d0319c2931881a6d48d0206e5a589af419b83e5679",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-07T23:19:53Z",
    "title_canon_sha256": "0cf50aff1c0b93e7a88e090ee766723c05530d40b945377a3b1d7e052b65429d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02636",
    "kind": "arxiv",
    "version": 2
  }
}