Pith Number

pith:II4B22SU

pith:2016:II4B22SUNNHIQC5E5KFZGTDFYV

not attested not anchored not stored refs pending

Sufficiency on the Stock Market

Peter Harremo\"es

arxiv:1601.07593 v1 · 2016-01-27 · cs.IT · math.IT · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{II4B22SUNNHIQC5E5KFZGTDFYV}

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	2026-05-18T01:21:44.046187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42381d6a546b4e880ba4ea8b934c65c5436660dd502dfe82b97110612371c62e

Aliases

arxiv: 1601.07593 · arxiv_version: 1601.07593v1 · doi: 10.48550/arxiv.1601.07593 · pith_short_12: II4B22SUNNHI · pith_short_16: II4B22SUNNHIQC5E · pith_short_8: II4B22SU

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/II4B22SUNNHIQC5E5KFZGTDFYV \
  | 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: 42381d6a546b4e880ba4ea8b934c65c5436660dd502dfe82b97110612371c62e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fd61668c5a20d53f67588500a1ea3497a0c70a40bfa6deb3f697d84912f7334",
    "cross_cats_sorted": [
      "math.IT",
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-01-27T23:09:55Z",
    "title_canon_sha256": "e7bb4a9f10167f9f52f511b503cc452428e2b32f1a1049cbd2c732c75695f458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07593",
    "kind": "arxiv",
    "version": 1
  }
}