Pith Number

pith:TAGWK3BH

pith:2013:TAGWK3BHFJS56JH7W6VVZHRYRQ

not attested not anchored not stored refs pending

Einstein's random walk and thermal diffusion

Yong-Jung Kim

arxiv:1307.4460 v1 · 2013-07-17 · math-ph · math.AP · 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{TAGWK3BHFJS56JH7W6VVZHRYRQ}

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	2026-05-18T03:18:17.915760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

980d656c272a65df24ffb7ab5c9e388c1afa7fc45229835b015b40a227aeccb2

Aliases

arxiv: 1307.4460 · arxiv_version: 1307.4460v1 · doi: 10.48550/arxiv.1307.4460 · pith_short_12: TAGWK3BHFJS5 · pith_short_16: TAGWK3BHFJS56JH7 · pith_short_8: TAGWK3BH

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/TAGWK3BHFJS56JH7W6VVZHRYRQ \
  | 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: 980d656c272a65df24ffb7ab5c9e388c1afa7fc45229835b015b40a227aeccb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18b1b8243a49fca9185a39da3ece8c1ce1559924e49596be23324f2dcaf1ce83",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-17T00:32:53Z",
    "title_canon_sha256": "dbbba373de234fdeefb24675b7d56b4996ad174d26c9a64d67bde9023dbc6367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4460",
    "kind": "arxiv",
    "version": 1
  }
}