Pith Number

pith:F3R757ZO

pith:2017:F3R757ZO4MB7M6KTZCZHUC65JC

not attested not anchored not stored refs pending

Survival asymptotics for branching random walks in IID environments

Janos Englander, Yuval Peres

arxiv:1703.09731 v1 · 2017-03-28 · 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{F3R757ZO4MB7M6KTZCZHUC65JC}

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	2026-05-18T00:47:39.662666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ee3feff2ee303f67953c8b27a0bdd48a278e76f6d95f905da4160f7e4db8d88

Aliases

arxiv: 1703.09731 · arxiv_version: 1703.09731v1 · doi: 10.48550/arxiv.1703.09731 · pith_short_12: F3R757ZO4MB7 · pith_short_16: F3R757ZO4MB7M6KT · pith_short_8: F3R757ZO

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/F3R757ZO4MB7M6KTZCZHUC65JC \
  | 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: 2ee3feff2ee303f67953c8b27a0bdd48a278e76f6d95f905da4160f7e4db8d88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56a86059fabcfb44cadaeea530c9805cfb692fb90bf10ac5ad20fbdc5a0835a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-28T18:04:34Z",
    "title_canon_sha256": "94b196a7b12a72879272ffb1a9c0fd454c3fc75c52c88e26b241c50e07517afd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09731",
    "kind": "arxiv",
    "version": 1
  }
}