Pith Number

pith:WTNQIV3R

pith:2018:WTNQIV3RU42TOCDDIDUEDST6RH

not attested not anchored not stored refs pending

Tensor Product Markov Chains

Georgia Benkart, Martin W. Liebeck, Persi Diaconis, Pham Huu Tiep

arxiv:1810.00409 v1 · 2018-09-30 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTNQIV3RU42TOCDDIDUEDST6RH}

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	2026-05-18T00:04:27.952224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4db045771a73537086340e841ca7e89d7a7e6dd07c5d7b7eeac464366c8eb18

Aliases

arxiv: 1810.00409 · arxiv_version: 1810.00409v1 · doi: 10.48550/arxiv.1810.00409 · pith_short_12: WTNQIV3RU42T · pith_short_16: WTNQIV3RU42TOCDD · pith_short_8: WTNQIV3R

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/WTNQIV3RU42TOCDDIDUEDST6RH \
  | 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: b4db045771a73537086340e841ca7e89d7a7e6dd07c5d7b7eeac464366c8eb18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b1a164ab21d5643a3c44b292ac38258c1a3df738c03b8dd72f5cb90fe66a11b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-09-30T15:49:40Z",
    "title_canon_sha256": "1057d5c2d37f379b19a88710faa387185f2d50c24a94eb2c02068557ad89067e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00409",
    "kind": "arxiv",
    "version": 1
  }
}