Pith Number

pith:YGEK5CMA

pith:2013:YGEK5CMAPQFHC2SX5NKYYBJ4DD

not attested not anchored not stored refs pending

Space-time fractional diffusion equations and asymptotic behaviors of a coupled continuous time random walk model

Aiguo Xiao, Hailan Huang, Long Shi, Zhi Mao, Zuguo Yu

arxiv:1308.2461 v1 · 2013-08-12 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGEK5CMAPQFHC2SX5NKYYBJ4DD}

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	2026-05-18T01:48:16.450001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c188ae89807c0a716a57eb558c053c18cea054c565c2e76f38458cc21decc663

Aliases

arxiv: 1308.2461 · arxiv_version: 1308.2461v1 · doi: 10.48550/arxiv.1308.2461 · pith_short_12: YGEK5CMAPQFH · pith_short_16: YGEK5CMAPQFHC2SX · pith_short_8: YGEK5CMA

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/YGEK5CMAPQFHC2SX5NKYYBJ4DD \
  | 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: c188ae89807c0a716a57eb558c053c18cea054c565c2e76f38458cc21decc663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4fcab5b7f52bfb491db6a8b0b4b131004bf07c4423e9357c4889efa77794d2f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-08-12T04:34:57Z",
    "title_canon_sha256": "48427f8188d4213458ce92152beaafc2203cc6ad5f6546dda141750a1cf8bcf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2461",
    "kind": "arxiv",
    "version": 1
  }
}