Pith Number

pith:VYPXZ6C3

pith:2018:VYPXZ6C3Z52LK7JAEBTJKKHOXQ

not attested not anchored not stored refs pending

How long does the surplus stay close to its historical high?

Bo Li, Xiaowen Zhou, Yun Hua

arxiv:1806.03201 v1 · 2018-06-08 · 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{VYPXZ6C3Z52LK7JAEBTJKKHOXQ}

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	2026-05-18T00:13:49.272976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae1f7cf85bcf74b57d2020669528eebc155030de711531128e5455fa2f1cc7fc

Aliases

arxiv: 1806.03201 · arxiv_version: 1806.03201v1 · doi: 10.48550/arxiv.1806.03201 · pith_short_12: VYPXZ6C3Z52L · pith_short_16: VYPXZ6C3Z52LK7JA · pith_short_8: VYPXZ6C3

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/VYPXZ6C3Z52LK7JAEBTJKKHOXQ \
  | 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: ae1f7cf85bcf74b57d2020669528eebc155030de711531128e5455fa2f1cc7fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef4f0ef6fd9b4608af24a6f5843e490f4b7b43479f7afdcb311b304882bd2b4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-08T14:50:12Z",
    "title_canon_sha256": "8c84542222d7b6979d4656d5a1249e061f7e9e55365281da796cdabe4daacaed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03201",
    "kind": "arxiv",
    "version": 1
  }
}