Pith Number

pith:Y6JV4ZJ2

pith:2016:Y6JV4ZJ2N6AKIVZS6F6W4UCYA7

not attested not anchored not stored refs pending

Large Sets Avoiding Patterns

Malabika Pramanik, Robert Fraser

arxiv:1609.03105 v1 · 2016-09-11 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6JV4ZJ2N6AKIVZS6F6W4UCYA7}

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	2026-05-18T00:18:20.735928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7935e653a6f80a45732f17d6e505807c7fc09ca3ae53a112f5de7435744fab3

Aliases

arxiv: 1609.03105 · arxiv_version: 1609.03105v1 · doi: 10.48550/arxiv.1609.03105 · pith_short_12: Y6JV4ZJ2N6AK · pith_short_16: Y6JV4ZJ2N6AKIVZS · pith_short_8: Y6JV4ZJ2

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/Y6JV4ZJ2N6AKIVZS6F6W4UCYA7 \
  | 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: c7935e653a6f80a45732f17d6e505807c7fc09ca3ae53a112f5de7435744fab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d247328fccf8e173b1e9ff79279395e603be898126dc7d10d31a69808cf6335",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-11T01:01:09Z",
    "title_canon_sha256": "61024a223f713f5253d3536b43b6247b73fb13aeb7e75528e3ba330cbf25a0d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03105",
    "kind": "arxiv",
    "version": 1
  }
}