Pith Number

pith:Z6MYZPIM

pith:2010:Z6MYZPIMKHRPZZHJ7PK2IBTHME

not attested not anchored not stored refs pending

Unimodal sequences show Lambert W is Bernstein

D.J. Jeffrey, G.A. Kalugin

arxiv:1011.5940 v1 · 2010-11-27 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6MYZPIMKHRPZZHJ7PK2IBTHME}

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	2026-05-18T04:34:37.866745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf998cbd0c51e2fce4e9fbd5a4066761398109725db6df3509a30b4748a937cc

Aliases

arxiv: 1011.5940 · arxiv_version: 1011.5940v1 · doi: 10.48550/arxiv.1011.5940 · pith_short_12: Z6MYZPIMKHRP · pith_short_16: Z6MYZPIMKHRPZZHJ · pith_short_8: Z6MYZPIM

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/Z6MYZPIMKHRPZZHJ7PK2IBTHME \
  | 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: cf998cbd0c51e2fce4e9fbd5a4066761398109725db6df3509a30b4748a937cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ea4422b7ce735d0f7a3f47057d044ae6ab0668eb72eff562c1016548ebd2a6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-11-27T00:10:11Z",
    "title_canon_sha256": "ee76e99b7669c3c118e7231aebed459b87ec4fc57961db8f232018d7020d60aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5940",
    "kind": "arxiv",
    "version": 1
  }
}