Pith Number

pith:E7IG4P6S

pith:2011:E7IG4P6SZADHU5GQOD3RIX43PJ

not attested not anchored not stored refs pending

On the singularity of random combinatorial matrices

Hoi H. Nguyen

arxiv:1112.0753 v1 · 2011-12-04 · 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{E7IG4P6SZADHU5GQOD3RIX43PJ}

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	2026-05-18T04:07:05.719958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27d06e3fd2c8067a74d070f7145f9b7a541ab586e64022067543d8fcf2a64b92

Aliases

arxiv: 1112.0753 · arxiv_version: 1112.0753v1 · doi: 10.48550/arxiv.1112.0753 · pith_short_12: E7IG4P6SZADH · pith_short_16: E7IG4P6SZADHU5GQ · pith_short_8: E7IG4P6S

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/E7IG4P6SZADHU5GQOD3RIX43PJ \
  | 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: 27d06e3fd2c8067a74d070f7145f9b7a541ab586e64022067543d8fcf2a64b92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7ffae89b2d4ab541da805a0ffa78c3fc768fe2464dcab22aafb8ac8a34a9da3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-04T14:00:07Z",
    "title_canon_sha256": "3a3b1720aaccbd0e95bb1de7ac8a9645483da71f756f9ddca2ec0c4da9681d59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0753",
    "kind": "arxiv",
    "version": 1
  }
}