Pith Number

pith:O257SOOK

pith:2016:O257SOOK4MQTPDICBABYJGOKAR

not attested not anchored not stored refs pending

Markov Type constants, flat tori and Wasserstein spaces

Vladimir Zolotov

arxiv:1610.04886 v4 · 2016-10-16 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O257SOOK4MQTPDICBABYJGOKAR}

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	2026-05-18T00:52:25.292387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76bbf939cae321378d0208038499ca046f60dd142aeb3669942aae5817f6a562

Aliases

arxiv: 1610.04886 · arxiv_version: 1610.04886v4 · doi: 10.48550/arxiv.1610.04886 · pith_short_12: O257SOOK4MQT · pith_short_16: O257SOOK4MQTPDIC · pith_short_8: O257SOOK

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/O257SOOK4MQTPDICBABYJGOKAR \
  | 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: 76bbf939cae321378d0208038499ca046f60dd142aeb3669942aae5817f6a562

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b012ef0e33aa4d49e372f3f1b9667ac23a34c8488e96475cda6d4f7ea5b7d34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-10-16T16:46:38Z",
    "title_canon_sha256": "cd52def2784411bab9e0cc6e8d1792b87bdae146e0ea2e604f3360291aa043ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04886",
    "kind": "arxiv",
    "version": 4
  }
}