Pith Number

pith:T24ER4KK

pith:2020:T24ER4KKX3K37O6YK2HDPNZ2QH

not attested not anchored not stored refs pending

Equidistributions of mesh patterns of length two and Kitaev and Zhang's conjectures

Bin Han, Jiang Zeng

arxiv:2007.13015 v1 · 2020-07-25 · 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{T24ER4KKX3K37O6YK2HDPNZ2QH}

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	2026-07-05T01:22:05.853021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eb848f14abed5bfbbd8568e37b73a81c1787723c8be6de5b5f5686c1eee135f

Aliases

arxiv: 2007.13015 · arxiv_version: 2007.13015v1 · doi: 10.48550/arxiv.2007.13015 · pith_short_12: T24ER4KKX3K3 · pith_short_16: T24ER4KKX3K37O6Y · pith_short_8: T24ER4KK

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/T24ER4KKX3K37O6YK2HDPNZ2QH \
  | 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: 9eb848f14abed5bfbbd8568e37b73a81c1787723c8be6de5b5f5686c1eee135f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa1486be34538c6e236ac1fe8d53c3b4af5b6357c9db765f37880c5ce9c69d62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-07-25T21:43:32Z",
    "title_canon_sha256": "cc74f36c4cf97a26aca5caf68eb6a09d489c8cac42a7e914741d6465b21d59f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.13015",
    "kind": "arxiv",
    "version": 1
  }
}