Pith Number

pith:HAKETZPE

pith:2015:HAKETZPEYYQBFGS4SHLDKZFU26

not attested not anchored not stored refs pending

A rigorous derivation of multicomponent diffusion laws

Wen-an Yong, Yi Zhu, Zaibao Yang

arxiv:1502.03516 v1 · 2015-02-12 · 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{HAKETZPEYYQBFGS4SHLDKZFU26}

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	2026-05-18T02:27:17.654743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

381449e5e4c620129a5c91d63564b4d7b66cbff8c7043032a852486ca7cc275a

Aliases

arxiv: 1502.03516 · arxiv_version: 1502.03516v1 · doi: 10.48550/arxiv.1502.03516 · pith_short_12: HAKETZPEYYQB · pith_short_16: HAKETZPEYYQBFGS4 · pith_short_8: HAKETZPE

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/HAKETZPEYYQBFGS4SHLDKZFU26 \
  | 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: 381449e5e4c620129a5c91d63564b4d7b66cbff8c7043032a852486ca7cc275a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf2d4301eed0de89d269f6c64d37ee2fa3f8ea720c09cb27fb10e0bd20efdefe",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-12T02:20:15Z",
    "title_canon_sha256": "b54271ea50842ca7b603834789b4a6320a1d3e0de7a728ef1d8ad1faaa0953fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03516",
    "kind": "arxiv",
    "version": 1
  }
}