Pith Number

pith:HPU5MZMC

pith:2019:HPU5MZMCKYOQ4HJOOYKK2BCRZL

not attested not anchored not stored refs pending

Passage time of the frog model has a sublinear variance

Shuta Nakajima, Van Hao Can

arxiv:1904.03667 v2 · 2019-04-07 · 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{HPU5MZMCKYOQ4HJOOYKK2BCRZL}

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	2026-05-17T23:43:14.509566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3be9d66582561d0e1d2e7614ad0451cae538bac07a316e525513e587ac437e10

Aliases

arxiv: 1904.03667 · arxiv_version: 1904.03667v2 · doi: 10.48550/arxiv.1904.03667 · pith_short_12: HPU5MZMCKYOQ · pith_short_16: HPU5MZMCKYOQ4HJO · pith_short_8: HPU5MZMC

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/HPU5MZMCKYOQ4HJOOYKK2BCRZL \
  | 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: 3be9d66582561d0e1d2e7614ad0451cae538bac07a316e525513e587ac437e10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e75a87ae9b5143ea0367ed62aa299c2088557ecdd04d82528f3b35cad69f7ed9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-07T15:09:57Z",
    "title_canon_sha256": "34f0a806189115500fdb98a340ff0817cdd27fe043dea7496fd536ed3474058f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03667",
    "kind": "arxiv",
    "version": 2
  }
}