Pith Number

pith:3MFBHTWI

pith:2017:3MFBHTWIMDFVKZ77BWIA3TYYSY

not attested not anchored not stored refs pending

Stochastic LU factorizations, Darboux transformations and urn models

F. Alberto Gr\"unbaum, Manuel D. de la Iglesia

arxiv:1706.02617 v1 · 2017-06-08 · 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{3MFBHTWIMDFVKZ77BWIA3TYYSY}

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	2026-05-18T00:42:45.007146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db0a13cec860cb5567ff0d900dcf189617bf2701fc96c03868862a2e481ee98b

Aliases

arxiv: 1706.02617 · arxiv_version: 1706.02617v1 · doi: 10.48550/arxiv.1706.02617 · pith_short_12: 3MFBHTWIMDFV · pith_short_16: 3MFBHTWIMDFVKZ77 · pith_short_8: 3MFBHTWI

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/3MFBHTWIMDFVKZ77BWIA3TYYSY \
  | 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: db0a13cec860cb5567ff0d900dcf189617bf2701fc96c03868862a2e481ee98b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48dc04f4e533369e5076579691ad077a6c6f87991ed672ac5648e31ee8a5d504",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-08T14:42:31Z",
    "title_canon_sha256": "8da146ebdef3ed229cd1f964b76cab94d99e2b3fba86c0c1ebd52d2fdb44e276"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02617",
    "kind": "arxiv",
    "version": 1
  }
}