Pith Number

pith:ZMISJHJK

pith:2015:ZMISJHJKTPIH4AHGQ2XCXIMFMW

not attested not anchored not stored refs pending

Modeling trend progression through an extension of the Polya Urn Process

Marijn ten Thij, Sandjai Bhulai

arxiv:1511.01861 v1 · 2015-11-05 · cs.SI · math.PR · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMISJHJKTPIH4AHGQ2XCXIMFMW}

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	2026-05-18T01:27:39.602296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb11249d2a9bd07e00e686ae2ba18565a8e339b8bb2b021db464ea19df13b54c

Aliases

arxiv: 1511.01861 · arxiv_version: 1511.01861v1 · doi: 10.48550/arxiv.1511.01861 · pith_short_12: ZMISJHJKTPIH · pith_short_16: ZMISJHJKTPIH4AHG · pith_short_8: ZMISJHJK

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/ZMISJHJKTPIH4AHGQ2XCXIMFMW \
  | 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: cb11249d2a9bd07e00e686ae2ba18565a8e339b8bb2b021db464ea19df13b54c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6499975076d3dc25a75435fdd9a2320c120ecd4bab7b391891e42fc6dbdc96c7",
    "cross_cats_sorted": [
      "math.PR",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2015-11-05T19:31:28Z",
    "title_canon_sha256": "db3fad6cad3aae9eae29bc5ee286bc8adc11d80c618503fdbe3b6b6b2d76d3e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01861",
    "kind": "arxiv",
    "version": 1
  }
}