pith. sign in
Pith Number

pith:4W6M7N26

pith:2016:4W6M7N265LO5L4BRETPDHPYVBM
not attested not anchored not stored refs pending

Mixing completely scrambled system exists

Jan P. Boro\'nski, Ji\v{r}\'i Kupka, Piotr Oprocha

arxiv:1609.01631 v2 · 2016-09-06 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4W6M7N265LO5L4BRETPDHPYVBM}

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 2026-05-18T00:51:59.887893Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e5bccfb75eeaddd5f03124de33bf150b1fd81a63087c38afbb743924c6bca017

Aliases

arxiv: 1609.01631 · arxiv_version: 1609.01631v2 · doi: 10.48550/arxiv.1609.01631 · pith_short_12: 4W6M7N265LO5 · pith_short_16: 4W6M7N265LO5L4BR · pith_short_8: 4W6M7N26
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4W6M7N265LO5L4BRETPDHPYVBM \
  | 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: e5bccfb75eeaddd5f03124de33bf150b1fd81a63087c38afbb743924c6bca017
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a6f8eb3e510c668ad17f5a581835b32f0fcc71acbb251d4a729aae14ab3694cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-06T16:04:23Z",
    "title_canon_sha256": "5abfa6dc6d699f4f60cf6c0bf7c2fd5c87852f2324f40d44b0ce500f3ad95db4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01631",
    "kind": "arxiv",
    "version": 2
  }
}