Pith Number

pith:TQL5P4FG

pith:2016:TQL5P4FG72EKS6JK3LCLO65NEK

not attested not anchored not stored refs pending

Effective bi-immunity and randomness

Achilles A. Beros, Bj{\o}rn Kjos-Hanssen, Mushfeq Khan

arxiv:1610.08615 v2 · 2016-10-27 · 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{TQL5P4FG72EKS6JK3LCLO65NEK}

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	2026-05-18T00:34:23.079128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c17d7f0a6fe88a9792adac4b77bad22a24c2cbcf755d4ef3efd415354c155d9

Aliases

arxiv: 1610.08615 · arxiv_version: 1610.08615v2 · doi: 10.48550/arxiv.1610.08615 · pith_short_12: TQL5P4FG72EK · pith_short_16: TQL5P4FG72EKS6JK · pith_short_8: TQL5P4FG

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/TQL5P4FG72EKS6JK3LCLO65NEK \
  | 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: 9c17d7f0a6fe88a9792adac4b77bad22a24c2cbcf755d4ef3efd415354c155d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d666bb5cb7d22bbeeac42bf3bd5f163f7a6408bed0e12db229473ef2876b3aa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-10-27T04:37:13Z",
    "title_canon_sha256": "68da1a7af0c3dbe3ec759254f5d99eee58d8d2674d93ca954c337b038b466986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08615",
    "kind": "arxiv",
    "version": 2
  }
}