Pith Number

pith:JHSDWSHD

pith:2015:JHSDWSHDWSFB2WORVNKF4NHZEW

not attested not anchored not stored refs pending

Boolean functions whose Fourier transform is concentrated on pairwise disjoint subsets of the input

Aviad Rubinstein, Muli Safra

arxiv:1512.09045 v1 · 2015-12-30 · math.PR · 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{JHSDWSHDWSFB2WORVNKF4NHZEW}

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	2026-05-18T01:23:34.134030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49e43b48e3b48a1d59d1ab545e34f925b1ee492ff68e807cf5304425da6077cb

Aliases

arxiv: 1512.09045 · arxiv_version: 1512.09045v1 · doi: 10.48550/arxiv.1512.09045 · pith_short_12: JHSDWSHDWSFB · pith_short_16: JHSDWSHDWSFB2WOR · pith_short_8: JHSDWSHD

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/JHSDWSHDWSFB2WORVNKF4NHZEW \
  | 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: 49e43b48e3b48a1d59d1ab545e34f925b1ee492ff68e807cf5304425da6077cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87104e7bcb2dc9db05f6e0cf8446368b364e0ddc0c7a1503445b856455cbb764",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-30T18:15:49Z",
    "title_canon_sha256": "0a5fad165a700c2b140170027064b9c43f2a3ef2973d6acc8eda5b2e2aa20416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09045",
    "kind": "arxiv",
    "version": 1
  }
}