Pith Number

pith:HWUZQCSG

pith:2025:HWUZQCSGGGHQWIZCGTXT64UBHR

not attested not anchored not stored refs pending

Tur\'an type problems for a fixed graph and a linear forest

Haixiang Zhang, Mei Lu, Xiamiao Zhao

arxiv:2507.11034 v1 · 2025-07-15 · 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{HWUZQCSGGGHQWIZCGTXT64UBHR}

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	2026-07-05T11:37:30.743862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3da9980a46318f0b232234ef3f72813c7a13a314602b1c397b2d5c9f5ba3a1e8

Aliases

arxiv: 2507.11034 · arxiv_version: 2507.11034v1 · doi: 10.48550/arxiv.2507.11034 · pith_short_12: HWUZQCSGGGHQ · pith_short_16: HWUZQCSGGGHQWIZC · pith_short_8: HWUZQCSG

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/HWUZQCSGGGHQWIZCGTXT64UBHR \
  | 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: 3da9980a46318f0b232234ef3f72813c7a13a314602b1c397b2d5c9f5ba3a1e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f71dc0895de0d058199cdcdbf9921fc874476728994f57b8e194602a13390d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-15T06:56:13Z",
    "title_canon_sha256": "60617ff51445f595d3bc92edd22e46758139cd2cb399500b5541855dbcaf95f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11034",
    "kind": "arxiv",
    "version": 1
  }
}