Pith Number

pith:75FFT67T

pith:2016:75FFT67TRONZBLMFUVB57S46TM

not attested not anchored not stored refs pending

Gorenstein duality for Real spectra

J.P.C.Greenlees, Lennart Meier

arxiv:1607.02332 v2 · 2016-07-08 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75FFT67TRONZBLMFUVB57S46TM}

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	2026-05-18T00:20:59.367628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff4a59fbf38b9b90ad85a543dfcb9e9b18d71b3cf19c0a84ddd60644559930db

Aliases

arxiv: 1607.02332 · arxiv_version: 1607.02332v2 · doi: 10.48550/arxiv.1607.02332 · pith_short_12: 75FFT67TRONZ · pith_short_16: 75FFT67TRONZBLMF · pith_short_8: 75FFT67T

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/75FFT67TRONZBLMFUVB57S46TM \
  | 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: ff4a59fbf38b9b90ad85a543dfcb9e9b18d71b3cf19c0a84ddd60644559930db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a01483936667a9ed84eaa0eb8fcec39074497cd142fd395a356184d971624c26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-07-08T12:14:39Z",
    "title_canon_sha256": "30d90bd4e499948ccfd7aae98feb24df99e2a6d5f317819bf673c93c4679f416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02332",
    "kind": "arxiv",
    "version": 2
  }
}