Pith Number

pith:JUASFYCT

pith:2016:JUASFYCTV2L2RHSDOQPLWDBJQU

not attested not anchored not stored refs pending

Syzygies of bounded rank symmetric tensors are generated in bounded degree

Steven V Sam

arxiv:1608.01722 v2 · 2016-08-05 · 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{JUASFYCTV2L2RHSDOQPLWDBJQU}

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	2026-05-18T00:39:47.575045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d0122e053ae97a89e43741ebb0c29850a2f11b77f53ec987358415b82429bca

Aliases

arxiv: 1608.01722 · arxiv_version: 1608.01722v2 · doi: 10.48550/arxiv.1608.01722 · pith_short_12: JUASFYCTV2L2 · pith_short_16: JUASFYCTV2L2RHSD · pith_short_8: JUASFYCT

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/JUASFYCTV2L2RHSDOQPLWDBJQU \
  | 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: 4d0122e053ae97a89e43741ebb0c29850a2f11b77f53ec987358415b82429bca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a45ba8de86cf6c49db08b2c3b96f91aedb0852630ddd0977df52e586bf8f003d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-08-05T00:05:39Z",
    "title_canon_sha256": "e65116842b1c1d278597167f8d443ae2f077bb2a8427bdfda78123f3efbacf21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01722",
    "kind": "arxiv",
    "version": 2
  }
}