Pith Number

pith:ZHOBH6DM

pith:2014:ZHOBH6DMYRRKFJ34JLXWVZINH6

not attested not anchored not stored refs pending

Entire functions of exponential type represented by pseudo-random and random Taylor series

Alexander Borichev, Alon Nishry, Mikhail Sodin

arxiv:1409.2736 v3 · 2014-09-09 · math.PR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHOBH6DMYRRKFJ34JLXWVZINH6}

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	2026-05-18T01:23:12.580728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9dc13f86cc462a2a77c4aef6ae50d3f9ffeb498594e3526905435237a63b15b

Aliases

arxiv: 1409.2736 · arxiv_version: 1409.2736v3 · doi: 10.48550/arxiv.1409.2736 · pith_short_12: ZHOBH6DMYRRK · pith_short_16: ZHOBH6DMYRRKFJ34 · pith_short_8: ZHOBH6DM

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/ZHOBH6DMYRRKFJ34JLXWVZINH6 \
  | 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: c9dc13f86cc462a2a77c4aef6ae50d3f9ffeb498594e3526905435237a63b15b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3c1a0113a0c0784f3cb8b6f1196a2706b1338be05de855b5dd99f7617c5f44b",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-09T13:51:01Z",
    "title_canon_sha256": "2cad145560f3969813e6f78dd42e4299bd8045f592eccd27ea0d823cf31b50c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2736",
    "kind": "arxiv",
    "version": 3
  }
}