Pith Number

pith:PGUVQTX4

pith:2013:PGUVQTX4JD3Y4DCBOXAJRIPZV7

not attested not anchored not stored refs pending

Convergences and projection Markov property of Markov processes on ultrametric spaces

Kohei Suzuki

arxiv:1306.5313 v2 · 2013-06-22 · 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{PGUVQTX4JD3Y4DCBOXAJRIPZV7}

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	2026-05-18T02:32:22.647080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79a9584efc48f78e0c4175c098a1f9afdb91e569e6e22b17e2b535030fe7e29d

Aliases

arxiv: 1306.5313 · arxiv_version: 1306.5313v2 · doi: 10.48550/arxiv.1306.5313 · pith_short_12: PGUVQTX4JD3Y · pith_short_16: PGUVQTX4JD3Y4DCB · pith_short_8: PGUVQTX4

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/PGUVQTX4JD3Y4DCBOXAJRIPZV7 \
  | 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: 79a9584efc48f78e0c4175c098a1f9afdb91e569e6e22b17e2b535030fe7e29d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f458f51f88503e6facd0de955fb0779bc29ea5fc2606d8b44704aa6927855f0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-22T11:21:07Z",
    "title_canon_sha256": "13e7fa5eb4b1a5e7fe49d4545302bae54afcdf47eef2ac83da5010cd09a0625f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5313",
    "kind": "arxiv",
    "version": 2
  }
}