Pith Number

pith:DA4FDHWA

pith:2017:DA4FDHWAA5VMWKKPLL2AHAIYOJ

not attested not anchored not stored refs pending

On rank range of interval matrices

Elena Rubei

arxiv:1712.09940 v3 · 2017-12-28 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DA4FDHWAA5VMWKKPLL2AHAIYOJ}

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	2026-05-18T00:22:15.717836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1838519ec0076acb294f5af403811872682fcf28ad50ce8f26bdf084ebc9192e

Aliases

arxiv: 1712.09940 · arxiv_version: 1712.09940v3 · doi: 10.48550/arxiv.1712.09940 · pith_short_12: DA4FDHWAA5VM · pith_short_16: DA4FDHWAA5VMWKKP · pith_short_8: DA4FDHWA

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/DA4FDHWAA5VMWKKPLL2AHAIYOJ \
  | 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: 1838519ec0076acb294f5af403811872682fcf28ad50ce8f26bdf084ebc9192e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5a8b95cdaa320f5a3a6b88102a3e3ee9851573c7ecca82e78af8c9fb69df55a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-12-28T17:16:37Z",
    "title_canon_sha256": "2777f1deaa3a1caac9233961507d89506120037efe0ea0920cf7bb938e0a5042"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09940",
    "kind": "arxiv",
    "version": 3
  }
}