Pith Number

pith:YRTW6FC4

pith:2015:YRTW6FC4MDJOQ3QSNKQPVJGML2

not attested not anchored not stored refs pending

Lower bound on the mean square displacement of particles in the hard disk model

Thomas Richthammer

arxiv:1504.08147 v2 · 2015-04-30 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRTW6FC4MDJOQ3QSNKQPVJGML2}

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	2026-05-18T01:12:22.893197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4676f145c60d2e86e126aa0faa4cc5e9a618a5a8fc937b2a242abf2bfe1eb79

Aliases

arxiv: 1504.08147 · arxiv_version: 1504.08147v2 · doi: 10.48550/arxiv.1504.08147 · pith_short_12: YRTW6FC4MDJO · pith_short_16: YRTW6FC4MDJOQ3QS · pith_short_8: YRTW6FC4

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/YRTW6FC4MDJOQ3QSNKQPVJGML2 \
  | 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: c4676f145c60d2e86e126aa0faa4cc5e9a618a5a8fc937b2a242abf2bfe1eb79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebe1e5fd3bdd3db02a826980d00bdb69a7cba91d4c610a8b6fa251de8c485a63",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-30T09:48:13Z",
    "title_canon_sha256": "7dc269f154d5ad2a202575d67f859c9d0e870882859765633a40f7e1eaa4869d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08147",
    "kind": "arxiv",
    "version": 2
  }
}