Pith Number

pith:Y4SEQ47X

pith:2026:Y4SEQ47XIFUGUZPN4JFZURMBN7

not attested not anchored not stored refs pending

Tight bound for the skew Hamming set-pair problem

Guorong Gao, Run Zhao

arxiv:2607.17261 v1 · 2026-07-19 · 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{Y4SEQ47XIFUGUZPN4JFZURMBN7}

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	2026-07-21T01:21:24.327313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7244873f741686a65ede24b9a45816fdf14a3975a53fcebeffefaf8b95b82e9

Aliases

arxiv: 2607.17261 · arxiv_version: 2607.17261v1 · doi: 10.48550/arxiv.2607.17261 · pith_short_12: Y4SEQ47XIFUG · pith_short_16: Y4SEQ47XIFUGUZPN · pith_short_8: Y4SEQ47X

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/Y4SEQ47XIFUGUZPN4JFZURMBN7 \
  | 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: c7244873f741686a65ede24b9a45816fdf14a3975a53fcebeffefaf8b95b82e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7534fd3e286e51c7e7d22fee391389f6ea891cc47a1092580f2b8e4a0c9919c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-19T14:06:04Z",
    "title_canon_sha256": "4fad5304ccb38b28a7126d2f71022429aeb8624ceaf7105d1b1119c34a149498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17261",
    "kind": "arxiv",
    "version": 1
  }
}