Pith Number

pith:D6GGUALR

pith:2018:D6GGUALRRPBPUAPKDPZ2WZPSDN

not attested not anchored not stored refs pending

The analytic rank of tensors and its applications

Shachar Lovett

arxiv:1806.09179 v5 · 2018-06-24 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6GGUALRRPBPUAPKDPZ2WZPSDN}

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	2026-05-17T23:44:32.413006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f8c6a01718bc2fa01ea1bf3ab65f21b4fac0307cb498e351c281b27dd5a76d9

Aliases

arxiv: 1806.09179 · arxiv_version: 1806.09179v5 · doi: 10.48550/arxiv.1806.09179 · pith_short_12: D6GGUALRRPBP · pith_short_16: D6GGUALRRPBPUAPK · pith_short_8: D6GGUALR

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/D6GGUALRRPBPUAPKDPZ2WZPSDN \
  | 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: 1f8c6a01718bc2fa01ea1bf3ab65f21b4fac0307cb498e351c281b27dd5a76d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7e5c1ff7dc4822f5c7b7449c79978db1b1f80d250591ffed2dd61be63e55e47",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-24T17:03:20Z",
    "title_canon_sha256": "2361de072f8bb6c3dedcba13db68258d7881f91910e96597d22c4b74b38d5001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09179",
    "kind": "arxiv",
    "version": 5
  }
}