Pith Number

pith:E7VV644C

pith:2017:E7VV644CUKTJTOW2Z4NELF5ZZC

not attested not anchored not stored refs pending

Big Cohen-Macaulay algebras and the vanishing conjecture for maps of Tor in mixed characteristic

Linquan Ma, Raymond Heitmann

arxiv:1703.08281 v2 · 2017-03-24 · 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{E7VV644CUKTJTOW2Z4NELF5ZZC}

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	2026-05-18T00:01:30.630680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27eb5f7382a2a699badacf1a4597b9c8bc9ab5a11e9618dff402c30ae50ba7f7

Aliases

arxiv: 1703.08281 · arxiv_version: 1703.08281v2 · doi: 10.48550/arxiv.1703.08281 · pith_short_12: E7VV644CUKTJ · pith_short_16: E7VV644CUKTJTOW2 · pith_short_8: E7VV644C

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/E7VV644CUKTJTOW2Z4NELF5ZZC \
  | 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: 27eb5f7382a2a699badacf1a4597b9c8bc9ab5a11e9618dff402c30ae50ba7f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5782456e1434394a25c327d2a0911c1679f0d8ab848f890babff7d3e5795b4e2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-03-24T03:42:38Z",
    "title_canon_sha256": "ca71827bb09ec8ceb3e34f90d7790b002e0fe7f2ab1f97c2e6d9033da1d8c98e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08281",
    "kind": "arxiv",
    "version": 2
  }
}