Pith Number

pith:FDUCSZR5

pith:2015:FDUCSZR5EJEGG5LFSTHT2YC6XN

not attested not anchored not stored refs pending

On strict monotonicity of the speed for excited random walks in one dimension

Mark Holmes

arxiv:1502.07006 v1 · 2015-02-24 · 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{FDUCSZR5EJEGG5LFSTHT2YC6XN}

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	2026-05-18T02:26:12.143713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28e829663d224863756594cf3d605ebb78ce445702e0ebeb3e804f9e6ce17027

Aliases

arxiv: 1502.07006 · arxiv_version: 1502.07006v1 · doi: 10.48550/arxiv.1502.07006 · pith_short_12: FDUCSZR5EJEG · pith_short_16: FDUCSZR5EJEGG5LF · pith_short_8: FDUCSZR5

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/FDUCSZR5EJEGG5LFSTHT2YC6XN \
  | 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: 28e829663d224863756594cf3d605ebb78ce445702e0ebeb3e804f9e6ce17027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96feaee9a0a76ed2b025cf354bf6b64fd6a4ab125fe1baab9358ac3802f7aaf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-24T23:33:50Z",
    "title_canon_sha256": "8e62aa7347560925a29180c57299d3835685de4c4dd62f9f3d352d730e3f49ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07006",
    "kind": "arxiv",
    "version": 1
  }
}