Pith Number

pith:A6XIJXKK

pith:2008:A6XIJXKKGRQCEJ7DV32LJTI4UZ

not attested not anchored not stored refs pending

Universality of the limit shape of convex lattice polygonal lines

Leonid V. Bogachev, Sakhavat M. Zarbaliev

arxiv:0807.3682 v4 · 2008-07-23 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6XIJXKKGRQCEJ7DV32LJTI4UZ}

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	2026-05-18T04:04:15.576489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07ae84dd4a34602227e3aef4b4cd1ca67d196da78d5fb6106de20b1699c9eb10

Aliases

arxiv: 0807.3682 · arxiv_version: 0807.3682v4 · doi: 10.48550/arxiv.0807.3682 · pith_short_12: A6XIJXKKGRQC · pith_short_16: A6XIJXKKGRQCEJ7D · pith_short_8: A6XIJXKK

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/A6XIJXKKGRQCEJ7DV32LJTI4UZ \
  | 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: 07ae84dd4a34602227e3aef4b4cd1ca67d196da78d5fb6106de20b1699c9eb10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae04f3a2b92cff587c375ec8a94a531497669e6c9336a107f804833afb096197",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-07-23T16:00:06Z",
    "title_canon_sha256": "88ef9779999d7454e158fd92a274f8d707874d17479f16caeadca5de4344871f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3682",
    "kind": "arxiv",
    "version": 4
  }
}