Pith Number

pith:32ATUXLU

pith:2013:32ATUXLUPKVZPQLBIV7CPDELOQ

not attested not anchored not stored refs pending

How to Approximate A Set Without Knowing Its Size In Advance

Gil Segev, Rasmus Pagh, Udi Wieder

arxiv:1304.1188 v2 · 2013-04-03 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32ATUXLUPKVZPQLBIV7CPDELOQ}

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	2026-05-18T03:28:18.981358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de813a5d747aab97c161457e278c8b7402c3a0779bce92023b0ab48440ed0c95

Aliases

arxiv: 1304.1188 · arxiv_version: 1304.1188v2 · doi: 10.48550/arxiv.1304.1188 · pith_short_12: 32ATUXLUPKVZ · pith_short_16: 32ATUXLUPKVZPQLB · pith_short_8: 32ATUXLU

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/32ATUXLUPKVZPQLBIV7CPDELOQ \
  | 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: de813a5d747aab97c161457e278c8b7402c3a0779bce92023b0ab48440ed0c95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69f51ff3836181c50a1e40ec97b65db475f02999770ac053726109a94c4957a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-04-03T21:07:05Z",
    "title_canon_sha256": "be836ec3b3005c03028493cc61a5d1b19dfdfdfc13d48ab0ba78b2dc27479b66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1188",
    "kind": "arxiv",
    "version": 2
  }
}