Pith Number

pith:L3MY3QV7

pith:2017:L3MY3QV74FFK2KP63YP25GQJ6N

not attested not anchored not stored refs pending

The Minimal Position of a Stable Branching Random Walk

Jingning Liu, Mei Zhang

arxiv:1712.08979 v1 · 2017-12-25 · 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{L3MY3QV74FFK2KP63YP25GQJ6N}

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	2026-05-18T00:27:14.699311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ed98dc2bfe14aad29fede1fae9a09f366b8e54f5ca16fb6281d4ac37cb5f240

Aliases

arxiv: 1712.08979 · arxiv_version: 1712.08979v1 · doi: 10.48550/arxiv.1712.08979 · pith_short_12: L3MY3QV74FFK · pith_short_16: L3MY3QV74FFK2KP6 · pith_short_8: L3MY3QV7

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/L3MY3QV74FFK2KP63YP25GQJ6N \
  | 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: 5ed98dc2bfe14aad29fede1fae9a09f366b8e54f5ca16fb6281d4ac37cb5f240

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a642dfe3b0e57281d9a2081f39908b96cd24240758d2a506d885ac5a0bb9732",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-25T00:59:06Z",
    "title_canon_sha256": "b471f292668bc033e88280679bff2166bfe6a2a42b2eaaa2c20878b3fea4c2e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08979",
    "kind": "arxiv",
    "version": 1
  }
}