Pith Number

pith:FJ7PZV5U

pith:2026:FJ7PZV5UAVYLJDVFXSFY5RNYOR

not attested not anchored not stored refs pending

The $(t,p)$-Norm in Classical Extremal Problems

Xiamiao Zhao, Yuanpei Wang

arxiv:2608.04615 v1 · 2026-08-05 · 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{FJ7PZV5UAVYLJDVFXSFY5RNYOR}

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	2026-08-06T01:36:16.215493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a7efcd7b40570b48ea5bc8b8ec5b874659ae6d456c808be90b4e8a618c42303

Aliases

arxiv: 2608.04615 · arxiv_version: 2608.04615v1 · doi: 10.48550/arxiv.2608.04615 · pith_short_12: FJ7PZV5UAVYL · pith_short_16: FJ7PZV5UAVYLJDVF · pith_short_8: FJ7PZV5U

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/FJ7PZV5UAVYLJDVFXSFY5RNYOR \
  | 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: 2a7efcd7b40570b48ea5bc8b8ec5b874659ae6d456c808be90b4e8a618c42303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba4d2fa836a5cbe1458729540aa2622f44fb4a3b1a92f7a1ed97100f62fa634d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-05T09:20:20Z",
    "title_canon_sha256": "f3078830c7a2215ce4757effca04da587daf938ca7e6e92e01ae26677f8f054a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04615",
    "kind": "arxiv",
    "version": 1
  }
}