Pith Number

pith:PRASLPLK

pith:2011:PRASLPLKNIVZFP3TKHF6T2ZFNB

not attested not anchored not stored refs pending

Structure in additively nonsmoothing sets

Michael Bateman, Nets Hawk Katz

arxiv:1104.2862 v1 · 2011-04-14 · 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{PRASLPLKNIVZFP3TKHF6T2ZFNB}

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	2026-05-18T04:24:26.705550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4125bd6a6a2b92bf7351cbe9eb256879de23d64126c8d1d3e484bb986fa832

Aliases

arxiv: 1104.2862 · arxiv_version: 1104.2862v1 · doi: 10.48550/arxiv.1104.2862 · pith_short_12: PRASLPLKNIVZ · pith_short_16: PRASLPLKNIVZFP3T · pith_short_8: PRASLPLK

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/PRASLPLKNIVZFP3TKHF6T2ZFNB \
  | 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: 7c4125bd6a6a2b92bf7351cbe9eb256879de23d64126c8d1d3e484bb986fa832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b5f3b95207fc69eeb5cb1ee554387aefeaf4f9a770cb10f4cf237144c1232b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-14T18:29:40Z",
    "title_canon_sha256": "b7917c41f50b2a714855f5e7d99104613264ae443f4b7c7680876f2e7654984d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2862",
    "kind": "arxiv",
    "version": 1
  }
}