Pith Number

pith:XMWQRYRN

pith:2021:XMWQRYRNA5QUNU2EWHHIMEOOQT

not attested not anchored not stored refs pending

A New Proof of Sturm's Theorem via Matrix Theory

Bin Li, Kaiwen Hou

arxiv:2110.15364 v1 · 2021-10-28 · 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{XMWQRYRNA5QUNU2EWHHIMEOOQT}

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	2026-07-05T03:27:08.461381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb2d08e22d076146d344b1ce8611ce84eef997382f57acfaa81e4bdcdb06a334

Aliases

arxiv: 2110.15364 · arxiv_version: 2110.15364v1 · doi: 10.48550/arxiv.2110.15364 · pith_short_12: XMWQRYRNA5QU · pith_short_16: XMWQRYRNA5QUNU2E · pith_short_8: XMWQRYRN

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/XMWQRYRNA5QUNU2EWHHIMEOOQT \
  | 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: bb2d08e22d076146d344b1ce8611ce84eef997382f57acfaa81e4bdcdb06a334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd1be2d0ece1666a6951cfec3ddda46e0d40364f62e56f5ae380fa7297df4f85",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-10-28T17:29:10Z",
    "title_canon_sha256": "2a4fbe5235dcace139e8f8c59e4ba7971ed81983c7b7166b6c34f0c536e246d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.15364",
    "kind": "arxiv",
    "version": 1
  }
}