Pith Number

pith:AQIGNXI5

pith:2013:AQIGNXI5E4KSQMMKZE5ASA5EKA

not attested not anchored not stored refs pending

The gap distribution of slopes on the golden L

Jayadev S. Athreya, Jon Chaika, Samuel Lelievre

arxiv:1308.4203 v1 · 2013-08-20 · math.DS · math.GT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQIGNXI5E4KSQMMKZE5ASA5EKA}

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	2026-05-18T03:15:33.452600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

041066dd1d271528318ac93a0903a4502ed7eb627ad65bf7d7abb37e3368841c

Aliases

arxiv: 1308.4203 · arxiv_version: 1308.4203v1 · doi: 10.48550/arxiv.1308.4203 · pith_short_12: AQIGNXI5E4KS · pith_short_16: AQIGNXI5E4KSQMMK · pith_short_8: AQIGNXI5

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/AQIGNXI5E4KSQMMKZE5ASA5EKA \
  | 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: 041066dd1d271528318ac93a0903a4502ed7eb627ad65bf7d7abb37e3368841c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fda7173222c1cfc18e81904795708e2d2877ed044fad5efbed702ad694cc90f",
    "cross_cats_sorted": [
      "math.GT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-08-20T01:20:07Z",
    "title_canon_sha256": "852b8c4227a6ab0ff47f033acf822d8fd8a6fe8d03098249bb786e88792568b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4203",
    "kind": "arxiv",
    "version": 1
  }
}