Pith Number

pith:MU4SBTEH

pith:2014:MU4SBTEHEAFGPEXBYQSRNYT2SC

not attested not anchored not stored refs pending

Asymptotic density, immunity, and randomness

Eric P. Astor

arxiv:1405.0022 v2 · 2014-04-30 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MU4SBTEHEAFGPEXBYQSRNYT2SC}

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	2026-05-18T00:47:43.460308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

653920cc87200a6792e1c42516e27a90b11da7d8a22dc39913ab75ba11e6d21d

Aliases

arxiv: 1405.0022 · arxiv_version: 1405.0022v2 · doi: 10.48550/arxiv.1405.0022 · pith_short_12: MU4SBTEHEAFG · pith_short_16: MU4SBTEHEAFGPEXB · pith_short_8: MU4SBTEH

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/MU4SBTEHEAFGPEXBYQSRNYT2SC \
  | 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: 653920cc87200a6792e1c42516e27a90b11da7d8a22dc39913ab75ba11e6d21d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6339d97e6b8e9a521621dfa51803a229ccf6cf2ac1a8b4c926fd6fce4d0e9e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-04-30T20:23:38Z",
    "title_canon_sha256": "c8dd4fcf9bd2485185dbc6f8f2c095e768cc16b5e74608619442e448849e0fb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0022",
    "kind": "arxiv",
    "version": 2
  }
}