Pith Number

pith:QOOLDNYE

pith:2012:QOOLDNYEI2AJ4GZIUOQLDIH5YA

not attested not anchored not stored refs pending

Tensor Rank, Invariants, Inequalities, and Applications

Elizabeth S. Allman, Jeremy G. Sumner, John A. Rhodes, Peter D. Jarvis

arxiv:1211.3461 v1 · 2012-11-14 · math.AG · math.GR · math.ST · q-bio.PE · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOOLDNYEI2AJ4GZIUOQLDIH5YA}

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	2026-05-18T03:40:48.679135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

839cb1b70446809e1b28a3a0b1a0fdc016efe8c8edcc31cf7fe7d625d5616ec2

Aliases

arxiv: 1211.3461 · arxiv_version: 1211.3461v1 · doi: 10.48550/arxiv.1211.3461 · pith_short_12: QOOLDNYEI2AJ · pith_short_16: QOOLDNYEI2AJ4GZI · pith_short_8: QOOLDNYE

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/QOOLDNYEI2AJ4GZIUOQLDIH5YA \
  | 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: 839cb1b70446809e1b28a3a0b1a0fdc016efe8c8edcc31cf7fe7d625d5616ec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9daecb374306a81666a2c635f5fab0d935a8d064bff831c09db6a0f1d72c0309",
    "cross_cats_sorted": [
      "math.GR",
      "math.ST",
      "q-bio.PE",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-14T23:41:01Z",
    "title_canon_sha256": "b8fbfcd6f43f320f4bbbc84435809d3e5d206316a30a847df5f4f58ff069f005"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3461",
    "kind": "arxiv",
    "version": 1
  }
}