Pith Number

pith:CW3K646Q

pith:2010:CW3K646QQYAXBXHZRJ2V56UQLF

not attested not anchored not stored refs pending

Weak convergence for the minimal position in a branching random walk: a simple proof

elie aidekon, Zhan Shi

arxiv:1006.1266 v2 · 2010-06-07 · 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{CW3K646QQYAXBXHZRJ2V56UQLF}

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	2026-05-18T04:30:14.315432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15b6af73d0860170dcf98a755efa905958e4425e43af5be77ae60c7bb1b968b9

Aliases

arxiv: 1006.1266 · arxiv_version: 1006.1266v2 · doi: 10.48550/arxiv.1006.1266 · pith_short_12: CW3K646QQYAX · pith_short_16: CW3K646QQYAXBXHZ · pith_short_8: CW3K646Q

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/CW3K646QQYAXBXHZRJ2V56UQLF \
  | 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: 15b6af73d0860170dcf98a755efa905958e4425e43af5be77ae60c7bb1b968b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6648131ce0ef5a349aeb36090a43d2467ade641920fbf0a3ea3dd36267c07409",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-06-07T14:30:38Z",
    "title_canon_sha256": "92e525cc531cd7143d865f623b783849dfd0d400be4bec9f9f958f33cb229626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1266",
    "kind": "arxiv",
    "version": 2
  }
}