Pith Number

pith:SSRN3BHN

pith:2013:SSRN3BHN7YVV6PNALMWVLAJK7S

not attested not anchored not stored refs pending

How big is the minimum of a branching random walk?

Yueyun Hu (LAGA)

arxiv:1305.6448 v5 · 2013-05-28 · 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{SSRN3BHN7YVV6PNALMWVLAJK7S}

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	2026-05-18T00:40:54.259756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94a2dd84edfe2b5f3da05b2d55812afcbd555dafd51c7b5e35376c6932afcb77

Aliases

arxiv: 1305.6448 · arxiv_version: 1305.6448v5 · doi: 10.48550/arxiv.1305.6448 · pith_short_12: SSRN3BHN7YVV · pith_short_16: SSRN3BHN7YVV6PNA · pith_short_8: SSRN3BHN

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/SSRN3BHN7YVV6PNALMWVLAJK7S \
  | 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: 94a2dd84edfe2b5f3da05b2d55812afcbd555dafd51c7b5e35376c6932afcb77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1386939cbd2c95d32b5216f3942885be721bdadd7ae060dc08fe043de5bb5b37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-28T11:22:40Z",
    "title_canon_sha256": "f821235fc2020f0457eb9b7936310aaf49d9453bc434a287781a3e1e6b682b29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6448",
    "kind": "arxiv",
    "version": 5
  }
}