Pith Number

pith:PBOCNDE2

pith:2017:PBOCNDE2W33LI67LVIYCOGAUZQ

not attested not anchored not stored refs pending

Fractional differential and fractional integral modified-Bloch equations for PFG anomalous diffusion and their general solutions

Guoxing Lin

arxiv:1702.07116 v1 · 2017-02-23 · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBOCNDE2W33LI67LVIYCOGAUZQ}

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	2026-05-18T00:50:08.255986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785c268c9ab6f6b47bebaa30271814cc2e8b62760074f718b2a23d812cd2ec08

Aliases

arxiv: 1702.07116 · arxiv_version: 1702.07116v1 · doi: 10.48550/arxiv.1702.07116 · pith_short_12: PBOCNDE2W33L · pith_short_16: PBOCNDE2W33LI67L · pith_short_8: PBOCNDE2

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/PBOCNDE2W33LI67LVIYCOGAUZQ \
  | 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: 785c268c9ab6f6b47bebaa30271814cc2e8b62760074f718b2a23d812cd2ec08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f91aeb8e97f5894feb8ec00ee776b43a089c2da3e8332d068cf3a546d72db764",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2017-02-23T07:14:15Z",
    "title_canon_sha256": "bd88ea2af2b7360a740ee893af497260bab9f95bde9cbde78c684f6317557858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07116",
    "kind": "arxiv",
    "version": 1
  }
}