Pith Number

pith:KTDH523L

pith:2016:KTDH523LNZITD5C3PD6IIW2SWI

not attested not anchored not stored refs pending

Existence of almost Cohen-Macaulay algebras implies the existence of big Cohen-Macaulay algebras

Rajsekhar Bhattacharyya

arxiv:1601.03335 v2 · 2016-01-13 · 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{KTDH523LNZITD5C3PD6IIW2SWI}

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	2026-05-18T01:18:08.430382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54c67eeb6b6e5131f45b78fc845b52b21910d53491501591bf8801a6d7583e1a

Aliases

arxiv: 1601.03335 · arxiv_version: 1601.03335v2 · doi: 10.48550/arxiv.1601.03335 · pith_short_12: KTDH523LNZIT · pith_short_16: KTDH523LNZITD5C3 · pith_short_8: KTDH523L

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/KTDH523LNZITD5C3PD6IIW2SWI \
  | 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: 54c67eeb6b6e5131f45b78fc845b52b21910d53491501591bf8801a6d7583e1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd3f991e746422a66b741fef55bc6198fb2a2018653a654021b8df79f0f5fdff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-13T18:09:46Z",
    "title_canon_sha256": "1b4c10a019eba5662bd0d7a95dabdeea8915612f86c8d18430e8f9b42e0f3ec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03335",
    "kind": "arxiv",
    "version": 2
  }
}