Pith Number

pith:JAJKLDUR

pith:2015:JAJKLDURWP3MP6I4PRGEFV5TGQ

not attested not anchored not stored refs pending

Invertibility of Sparse non-Hermitian matrices

Anirban Basak, Mark Rudelson

arxiv:1507.03525 v3 · 2015-07-13 · 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{JAJKLDURWP3MP6I4PRGEFV5TGQ}

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	2026-05-18T00:51:30.627065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4812a58e91b3f6c7f91c7c4c42d7b3343d5a7556fac1db80d093a91e0b196ece

Aliases

arxiv: 1507.03525 · arxiv_version: 1507.03525v3 · doi: 10.48550/arxiv.1507.03525 · pith_short_12: JAJKLDURWP3M · pith_short_16: JAJKLDURWP3MP6I4 · pith_short_8: JAJKLDUR

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/JAJKLDURWP3MP6I4PRGEFV5TGQ \
  | 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: 4812a58e91b3f6c7f91c7c4c42d7b3343d5a7556fac1db80d093a91e0b196ece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30dd1146303a2a15bc51f8c0cca7d7d33fbaf99df295622df23548d35ce0e717",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-13T17:15:32Z",
    "title_canon_sha256": "ea40e26e04fe3bf9955e3ade8532a5b326d20d90833ba2072a48072785489f4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03525",
    "kind": "arxiv",
    "version": 3
  }
}