Pith Number

pith:MBMA2NTB

pith:2017:MBMA2NTBWMJMBQUVFBV632Y5PU

not attested not anchored not stored refs pending

Change of grading, injective dimension and dualizing complexes

Andrea Solotar, Pablo Zadunaisky

arxiv:1703.08721 v2 · 2017-03-25 · math.KT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBMA2NTBWMJMBQUVFBV632Y5PU}

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	2026-05-18T00:24:42.959498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60580d3661b312c0c295286bedeb1d7d32f18a1962a0747433f8eee690fdcb8e

Aliases

arxiv: 1703.08721 · arxiv_version: 1703.08721v2 · doi: 10.48550/arxiv.1703.08721 · pith_short_12: MBMA2NTBWMJM · pith_short_16: MBMA2NTBWMJMBQUV · pith_short_8: MBMA2NTB

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/MBMA2NTBWMJMBQUVFBV632Y5PU \
  | 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: 60580d3661b312c0c295286bedeb1d7d32f18a1962a0747433f8eee690fdcb8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdf3c6f51af6f727710525e7ddd24920278c83fc0baf1e82a51eaf3290818fe7",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2017-03-25T17:38:27Z",
    "title_canon_sha256": "73b26cb86e90e656a19b7f97a18dc2d4a6265d221b79b558d3379448a621b095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08721",
    "kind": "arxiv",
    "version": 2
  }
}