Pith Number

pith:XGIIUW5Y

pith:2010:XGIIUW5YTTNI2USQXLJFSQDTQT

not attested not anchored not stored refs pending

Properties of the limit shape for some last passage growth models in random environments

Hao Lin, Timo Sepp\"al\"ainen

arxiv:1009.4967 v3 · 2010-09-25 · 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{XGIIUW5YTTNI2USQXLJFSQDTQT}

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	2026-05-18T04:11:51.772521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9908a5bb89cda8d5250bad259407384f6869633d2b1d6ac04e760ae6586d26b

Aliases

arxiv: 1009.4967 · arxiv_version: 1009.4967v3 · doi: 10.48550/arxiv.1009.4967 · pith_short_12: XGIIUW5YTTNI · pith_short_16: XGIIUW5YTTNI2USQ · pith_short_8: XGIIUW5Y

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/XGIIUW5YTTNI2USQXLJFSQDTQT \
  | 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: b9908a5bb89cda8d5250bad259407384f6869633d2b1d6ac04e760ae6586d26b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40f27dd6b60acb320386b8097cb6fb20dbfe8fa26e975e868838a1406bfd4abb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-25T03:13:07Z",
    "title_canon_sha256": "62753d73af18e63ea5e6fd434ebf6d218331f60611023dfc0ab38432748a450b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4967",
    "kind": "arxiv",
    "version": 3
  }
}