Pith Number

pith:2Q34SQAD

pith:2016:2Q34SQAD3NTEW3K4TK5GIIGKB6

not attested not anchored not stored refs pending

On the average size of independent sets in triangle-free graphs

Barnaby Roberts, Ewan Davies, Matthew Jenssen, Will Perkins

arxiv:1606.01043 v2 · 2016-06-03 · 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{2Q34SQAD3NTEW3K4TK5GIIGKB6}

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	2026-05-18T00:25:11.986937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d437c94003db664b6d5c9aba6420ca0f9637440dadeb17961ce352058ccb71fd

Aliases

arxiv: 1606.01043 · arxiv_version: 1606.01043v2 · doi: 10.48550/arxiv.1606.01043 · pith_short_12: 2Q34SQAD3NTE · pith_short_16: 2Q34SQAD3NTEW3K4 · pith_short_8: 2Q34SQAD

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/2Q34SQAD3NTEW3K4TK5GIIGKB6 \
  | 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: d437c94003db664b6d5c9aba6420ca0f9637440dadeb17961ce352058ccb71fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e965d05f9f309ace0380a2ca3371dd97ddfe602e3a688deff258291a4c43a19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-03T10:59:07Z",
    "title_canon_sha256": "633a5dd7b7792f6ca49ee721a916f8d3577e696bb09e9aee5bc3b20af654cca5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01043",
    "kind": "arxiv",
    "version": 2
  }
}