Pith Number

pith:7SJ6ANFU

pith:2011:7SJ6ANFUPPP3T7M2426JTWHC5Y

not attested not anchored not stored refs pending

Tensor complexes: Multilinear free resolutions constructed from higher tensors

Christine Berkesch Zamaere, Daniel Erman, Manoj Kummini, Steven V Sam

arxiv:1101.4604 v5 · 2011-01-24 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SJ6ANFUPPP3T7M2426JTWHC5Y}

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	2026-05-18T03:10:12.420836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc93e034b47bdfb9fd9ae6bc99d8e2ee1365e68ca2900bda80c6ce8422f7b2bd

Aliases

arxiv: 1101.4604 · arxiv_version: 1101.4604v5 · doi: 10.48550/arxiv.1101.4604 · pith_short_12: 7SJ6ANFUPPP3 · pith_short_16: 7SJ6ANFUPPP3T7M2 · pith_short_8: 7SJ6ANFU

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/7SJ6ANFUPPP3T7M2426JTWHC5Y \
  | 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: fc93e034b47bdfb9fd9ae6bc99d8e2ee1365e68ca2900bda80c6ce8422f7b2bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8921fe237b121a1044e8c65e8db893a732d5a79c31a5e69ab55c38b0d732d1ec",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-01-24T18:01:51Z",
    "title_canon_sha256": "d5be4069ff88ea37d8ddfcf73bcbc13b05ae4cc2f1722eb1fe37f2cc82262cb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4604",
    "kind": "arxiv",
    "version": 5
  }
}