Pith Number

pith:GPOFKLI2

pith:2019:GPOFKLI27IM5E2YKUYJKKRNFZT

not attested not anchored not stored refs pending

Stability and instability of steady states for a branching random walk

Elena Yarovaya, Stanislav Molchanov, Yaqin Feng

arxiv:1903.06270 v1 · 2019-03-14 · 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{GPOFKLI27IM5E2YKUYJKKRNFZT}

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	2026-05-17T23:51:11.279967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33dc552d1afa19d26b0aa612a545a5ccf6ce02acf6d3e74c4be9c324244d0029

Aliases

arxiv: 1903.06270 · arxiv_version: 1903.06270v1 · doi: 10.48550/arxiv.1903.06270 · pith_short_12: GPOFKLI27IM5 · pith_short_16: GPOFKLI27IM5E2YK · pith_short_8: GPOFKLI2

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/GPOFKLI27IM5E2YKUYJKKRNFZT \
  | 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: 33dc552d1afa19d26b0aa612a545a5ccf6ce02acf6d3e74c4be9c324244d0029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee7ab416a84e0556f0d1a7cc0543b4cf1d75b95ebcbdcf4d6e451b8f2de081b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-14T21:31:33Z",
    "title_canon_sha256": "2fc812213f14c247da7693fd8f9af322343afae2521b662ca339bf3c16d705a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06270",
    "kind": "arxiv",
    "version": 1
  }
}