Pith Number

pith:PLKLM4JZ

pith:2016:PLKLM4JZMDHEXHJ5ZMCHJON2VS

not attested not anchored not stored refs pending

Hard-edge asymptotics of the Jacobi growth process

Jeffrey Kuan, Mark Cerenzia

arxiv:1608.06384 v1 · 2016-08-23 · 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{PLKLM4JZMDHEXHJ5ZMCHJON2VS}

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	2026-05-18T00:38:32.123507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ad4b6713960ce4b9d3dcb0474b9baac805a8bfa95471ee72c79ef7d5f73082c

Aliases

arxiv: 1608.06384 · arxiv_version: 1608.06384v1 · doi: 10.48550/arxiv.1608.06384 · pith_short_12: PLKLM4JZMDHE · pith_short_16: PLKLM4JZMDHEXHJ5 · pith_short_8: PLKLM4JZ

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/PLKLM4JZMDHEXHJ5ZMCHJON2VS \
  | 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: 7ad4b6713960ce4b9d3dcb0474b9baac805a8bfa95471ee72c79ef7d5f73082c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "447f7f456d0469ff54716f514458827fb3841470a85317a86f6e173cfc5d5b3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-23T05:18:16Z",
    "title_canon_sha256": "846e0c7864c795cda74f26bf5a228d5f165305eafaac6ca23028cbd1d7c264a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06384",
    "kind": "arxiv",
    "version": 1
  }
}