Pith Number

pith:JSAMLV77

pith:2022:JSAMLV77TIJ6D4DWCJVCNDWJ63

not attested not anchored not stored refs pending

Typical values of extremal-weight combinatorial structures with independent symmetric weights

Albert Xu, Tomasz Tkocz, Yixue Liu, Yun Cheng

arxiv:2211.12348 v1 · 2022-11-22 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSAMLV77TIJ6D4DWCJVCNDWJ63}

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	2026-07-05T10:05:06.212004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c80c5d7ff9a13e1f076126a268ec9f6c8146f62a580ea016bcecd33d76d6a15

Aliases

arxiv: 2211.12348 · arxiv_version: 2211.12348v1 · doi: 10.48550/arxiv.2211.12348 · pith_short_12: JSAMLV77TIJ6 · pith_short_16: JSAMLV77TIJ6D4DW · pith_short_8: JSAMLV77

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/JSAMLV77TIJ6D4DWCJVCNDWJ63 \
  | 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: 4c80c5d7ff9a13e1f076126a268ec9f6c8146f62a580ea016bcecd33d76d6a15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "434b7614d78256805f55c3e410708cb69e86db164167fc607e9313e2376c638b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-22T15:36:18Z",
    "title_canon_sha256": "c82fa6838c02fede10363bb0f4c200eb3ac80ac67e1841ab11b7211932ab871f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.12348",
    "kind": "arxiv",
    "version": 1
  }
}