Pith Number

pith:MFXKEEYJ

pith:2015:MFXKEEYJ6Y4BEVUUNMWTZIQM3Z

not attested not anchored not stored refs pending

Output sum of transducers: Limiting distribution and periodic fluctuation

Clemens Heuberger, Helmut Prodinger, Sara Kropf

arxiv:1502.01412 v1 · 2015-02-05 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFXKEEYJ6Y4BEVUUNMWTZIQM3Z}

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	2026-05-18T01:33:06.361015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

616ea21309f6381256946b2d3ca20cde569c0f7cd1aed177cdba2deff41e485b

Aliases

arxiv: 1502.01412 · arxiv_version: 1502.01412v1 · doi: 10.48550/arxiv.1502.01412 · pith_short_12: MFXKEEYJ6Y4B · pith_short_16: MFXKEEYJ6Y4BEVUU · pith_short_8: MFXKEEYJ

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/MFXKEEYJ6Y4BEVUUNMWTZIQM3Z \
  | 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: 616ea21309f6381256946b2d3ca20cde569c0f7cd1aed177cdba2deff41e485b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81ad4238f6ce62659fb53de09b0c25966f222f309a0bf1bd767ab3af5a38e738",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-05T02:33:57Z",
    "title_canon_sha256": "37e1adfc22599379894c3bac44b9d1a96a8f0098c1c911089ef2ef98cfd9dbae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01412",
    "kind": "arxiv",
    "version": 1
  }
}