Pith. sign in
Pith Number

pith:NE3SF7GR

pith:2020:NE3SF7GRQ5SO2VSBZ6XS7Y3WJZ
not attested not anchored not stored refs pending

Prime Running Functions

Jaeyoon Kim

arxiv:2006.13355 v1 · 2020-06-23 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NE3SF7GRQ5SO2VSBZ6XS7Y3WJZ}

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 2026-07-05T01:13:14.987851Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

693722fcd18764ed5641cfaf2fe3764e517ff1cbb19474ed7272fbddd28ba816

Aliases

arxiv: 2006.13355 · arxiv_version: 2006.13355v1 · doi: 10.48550/arxiv.2006.13355 · pith_short_12: NE3SF7GRQ5SO · pith_short_16: NE3SF7GRQ5SO2VSB · pith_short_8: NE3SF7GR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NE3SF7GRQ5SO2VSBZ6XS7Y3WJZ \
  | 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: 693722fcd18764ed5641cfaf2fe3764e517ff1cbb19474ed7272fbddd28ba816
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "00de0c72a5493cedc99e0010640da89add3195b6ebcb3dff91f4fecd769939a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-06-23T21:57:02Z",
    "title_canon_sha256": "b046b9d30fcbfc6540c195c44bfc542462bc7dea093f487cf5754af3db4e6993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.13355",
    "kind": "arxiv",
    "version": 1
  }
}