Pith Number

pith:YHWKCLXN

pith:2016:YHWKCLXN6ZBM2LHHWSMGBREQWQ

not attested not anchored not stored refs pending

Sumfree sets in groups: a survey

Terence Tao, Van Vu

arxiv:1603.03071 v2 · 2016-03-09 · 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{YHWKCLXN6ZBM2LHHWSMGBREQWQ}

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	2026-05-18T01:18:59.880167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1eca12eedf642cd2ce7b49860c490b41881de538d86025209397fd5bb49e3d7

Aliases

arxiv: 1603.03071 · arxiv_version: 1603.03071v2 · doi: 10.48550/arxiv.1603.03071 · pith_short_12: YHWKCLXN6ZBM · pith_short_16: YHWKCLXN6ZBM2LHH · pith_short_8: YHWKCLXN

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/YHWKCLXN6ZBM2LHHWSMGBREQWQ \
  | 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: c1eca12eedf642cd2ce7b49860c490b41881de538d86025209397fd5bb49e3d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05c79d7b02b5f3244c6eb717b29107e889bca73f64db0354333f2d6ef13a8511",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-09T21:49:31Z",
    "title_canon_sha256": "73bdbb177f6c09811cf2af841f2e3f8fd52d675342e070a94008c09011069ed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03071",
    "kind": "arxiv",
    "version": 2
  }
}