Pith Number

pith:5SL6IFRR

pith:2018:5SL6IFRRGLT4X5U2WM6KCUVTTZ

not attested not anchored not stored refs pending

Simple Graph Density Inequalities with no Sum of Squares Proofs

Annie Raymond, Grigoriy Blekherman, Mohit Singh, Rekha R. Thomas

arxiv:1812.08820 v1 · 2018-12-20 · 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{5SL6IFRRGLT4X5U2WM6KCUVTTZ}

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	2026-05-17T23:57:46.187292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec97e4163132e7cbf69ab33ca152b39e5218f50ad8783166b03bcc4d516066c0

Aliases

arxiv: 1812.08820 · arxiv_version: 1812.08820v1 · doi: 10.48550/arxiv.1812.08820 · pith_short_12: 5SL6IFRRGLT4 · pith_short_16: 5SL6IFRRGLT4X5U2 · pith_short_8: 5SL6IFRR

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/5SL6IFRRGLT4X5U2WM6KCUVTTZ \
  | 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: ec97e4163132e7cbf69ab33ca152b39e5218f50ad8783166b03bcc4d516066c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32647d6d8a562064b4987d19f70a7fc205fd05f099b42db1fe90bc2df3f0e54e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-20T19:56:42Z",
    "title_canon_sha256": "2d05ddc03732ca6c71c142734060572d2bb957c764c2853d2d9126ad4819aab3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08820",
    "kind": "arxiv",
    "version": 1
  }
}