Pith Number

pith:MJEHYY2I

pith:2011:MJEHYY2IXGITSACSGJXC7OPGYR

not attested not anchored not stored refs pending

Inverse problem of the limit shape for convex lattice polygonal lines

Leonid V. Bogachev, Sakhavat M. Zarbaliev

arxiv:1110.6636 v1 · 2011-10-30 · 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{MJEHYY2IXGITSACSGJXC7OPGYR}

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	2026-05-18T04:09:54.998951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62487c6348b991390052326e2fb9e6c46dee3de1c054ae682fff36329444935f

Aliases

arxiv: 1110.6636 · arxiv_version: 1110.6636v1 · doi: 10.48550/arxiv.1110.6636 · pith_short_12: MJEHYY2IXGIT · pith_short_16: MJEHYY2IXGITSACS · pith_short_8: MJEHYY2I

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/MJEHYY2IXGITSACSGJXC7OPGYR \
  | 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: 62487c6348b991390052326e2fb9e6c46dee3de1c054ae682fff36329444935f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8445a812856f4d197c4874788ea01b50d83381c5f59447b5a67253b8e0f1a37c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-30T19:11:16Z",
    "title_canon_sha256": "59f782f2514e83a7a3842e002fecdbf15c986ca610a5c4b83a33448a1b60de66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6636",
    "kind": "arxiv",
    "version": 1
  }
}