Pith Number

pith:ZAYL4N4H

pith:2011:ZAYL4N4HMQGGFJA3MKDWPG53MR

not attested not anchored not stored refs pending

Random ballistic growth and diffusion in symmetric spaces

A. Gorsky, G. Schehr, R. Santachiara, S. Nechaev

arxiv:1110.3524 v2 · 2011-10-16 · math-ph · cond-mat.stat-mech · 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{ZAYL4N4HMQGGFJA3MKDWPG53MR}

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	2026-05-18T03:50:25.702214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c830be3787640c62a41b6287679bbb647d1e4bfed190db04c92fd61e18a0520a

Aliases

arxiv: 1110.3524 · arxiv_version: 1110.3524v2 · doi: 10.48550/arxiv.1110.3524 · pith_short_12: ZAYL4N4HMQGG · pith_short_16: ZAYL4N4HMQGGFJA3 · pith_short_8: ZAYL4N4H

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/ZAYL4N4HMQGGFJA3MKDWPG53MR \
  | 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: c830be3787640c62a41b6287679bbb647d1e4bfed190db04c92fd61e18a0520a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "944409b5bad6e86e995993dcb583137d2a89c377aa465d452a84ececa9d14ba7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-16T20:53:47Z",
    "title_canon_sha256": "febae4f7f787bc24f8f103c246252d868254b6fb41a1cc644a5f3973b42d8c8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3524",
    "kind": "arxiv",
    "version": 2
  }
}