Pith Number

pith:R7ECPFTS

pith:2013:R7ECPFTSIWET3GZODENPS5WEYA

not attested not anchored not stored refs pending

The critical exponent conjecture for powers of doubly nonnegative matrices

Apoorva Khare, Bala Rajaratnam, Dominique Guillot

arxiv:1303.4701 v2 · 2013-03-19 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7ECPFTSIWET3GZODENPS5WEYA}

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	2026-05-18T02:28:21.082470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fc827967245893d9b2e191af976c4c01bad77f28491cdb3a15db1a781813bb2

Aliases

arxiv: 1303.4701 · arxiv_version: 1303.4701v2 · doi: 10.48550/arxiv.1303.4701 · pith_short_12: R7ECPFTSIWET · pith_short_16: R7ECPFTSIWET3GZO · pith_short_8: R7ECPFTS

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/R7ECPFTSIWET3GZODENPS5WEYA \
  | 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: 8fc827967245893d9b2e191af976c4c01bad77f28491cdb3a15db1a781813bb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58ccad13a430e0e801f87d3a36a4a0f6810cdf2f72a6f98459150abec67649b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-19T19:12:38Z",
    "title_canon_sha256": "d51cf66be7a88a5e96cdd34eb0222221e9226c31d640abfdfbbcc24e89f210cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4701",
    "kind": "arxiv",
    "version": 2
  }
}