Pith Number

pith:GQP7PHS3

pith:2026:GQP7PHS34NVWRH7RWDCGXZTTJW

not attested not anchored not stored refs pending

On the supersaturation of oriented Tur\'an problems

Xuanrui Hu, Yuefang Sun

arxiv:2602.14008 v2 · 2026-02-15 · 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{GQP7PHS34NVWRH7RWDCGXZTTJW}

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	2026-06-09T01:05:14.364765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

341ff79e5be36b689ff1b0c46be6734db994876382bdde432443ddf8107b7798

Aliases

arxiv: 2602.14008 · arxiv_version: 2602.14008v2 · doi: 10.48550/arxiv.2602.14008 · pith_short_12: GQP7PHS34NVW · pith_short_16: GQP7PHS34NVWRH7R · pith_short_8: GQP7PHS3

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/GQP7PHS34NVWRH7RWDCGXZTTJW \
  | 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: 341ff79e5be36b689ff1b0c46be6734db994876382bdde432443ddf8107b7798

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f662756c9ba2dcec403ff2b2df9cd57fe1c6db089cb98918590a54bee2979b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-02-15T06:25:08Z",
    "title_canon_sha256": "a6e2677ca7038806142fb1bfc9130b62afff3665125440cb5f845562e34ce752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.14008",
    "kind": "arxiv",
    "version": 2
  }
}