Pith Number

pith:7QZWANNK

pith:2016:7QZWANNKK5GGMC5XIAUPLGVUJR

not attested not anchored not stored refs pending

Fractional derivatives of constant and variable orders applied to anomalous relaxation models in heat-transfer problems

Xiao-Jun Yang

arxiv:1612.03202 v1 · 2016-12-07 · physics.class-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{7QZWANNKK5GGMC5XIAUPLGVUJR}

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	2026-05-18T00:40:13.524655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc336035aa574c660bb74028f59ab44c51da89f3976e0b35a83d582cd2cde7df

Aliases

arxiv: 1612.03202 · arxiv_version: 1612.03202v1 · doi: 10.48550/arxiv.1612.03202 · pith_short_12: 7QZWANNKK5GG · pith_short_16: 7QZWANNKK5GGMC5X · pith_short_8: 7QZWANNK

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/7QZWANNKK5GGMC5XIAUPLGVUJR \
  | 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: fc336035aa574c660bb74028f59ab44c51da89f3976e0b35a83d582cd2cde7df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d40b56a74084b6e1d1da570e75d59bd699428f4801087327c6da9bd6b5382b51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2016-12-07T18:16:56Z",
    "title_canon_sha256": "fbb34c08746b4722efd77aab4c790cd5fcc40db6b0572d04365314694f3036ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03202",
    "kind": "arxiv",
    "version": 1
  }
}