Pith Number

pith:UHUTGONC

pith:2023:UHUTGONCM2SCJLDE72VQOLPBDV

not attested not anchored not stored refs pending

The rank of sparse symmetric matrices over arbitrary fields

Haodong Zhu, Noela M\"uller, Remco van der Hofstad

arxiv:2301.12978 v1 · 2023-01-30 · 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{UHUTGONCM2SCJLDE72VQOLPBDV}

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	2026-07-05T05:36:59.513067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1e93339a266a424ac64feab072de11d485008ccaafbeba73cd7ab25bc0e883a

Aliases

arxiv: 2301.12978 · arxiv_version: 2301.12978v1 · doi: 10.48550/arxiv.2301.12978 · pith_short_12: UHUTGONCM2SC · pith_short_16: UHUTGONCM2SCJLDE · pith_short_8: UHUTGONC

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/UHUTGONCM2SCJLDE72VQOLPBDV \
  | 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: a1e93339a266a424ac64feab072de11d485008ccaafbeba73cd7ab25bc0e883a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbed46b328f8e8ceeadc151a8d0571a2a8bd2676f563dd215ad55f79868db1a4",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-01-30T15:23:59Z",
    "title_canon_sha256": "79b98ac1d72a41f79ce5efa7b8a638c433f95edf8a5aedb604c1e0fa50b2160b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.12978",
    "kind": "arxiv",
    "version": 1
  }
}