Pith Number

pith:CCTGSD75

pith:2017:CCTGSD75R7YP2IGSAML3J64JEP

not attested not anchored not stored refs pending

Greenlees-May Duality in a Nutshell

Hossein Faridian

arxiv:1706.06072 v1 · 2017-06-19 · 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{CCTGSD75R7YP2IGSAML3J64JEP}

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	2026-05-18T00:42:08.175765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a6690ffd8ff0fd20d20317b4fb8923c495cd4103a1bf8d7887e91dd90ff3d2

Aliases

arxiv: 1706.06072 · arxiv_version: 1706.06072v1 · doi: 10.48550/arxiv.1706.06072 · pith_short_12: CCTGSD75R7YP · pith_short_16: CCTGSD75R7YP2IGS · pith_short_8: CCTGSD75

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/CCTGSD75R7YP2IGSAML3J64JEP \
  | 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: 10a6690ffd8ff0fd20d20317b4fb8923c495cd4103a1bf8d7887e91dd90ff3d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9598053e2fa9a08cca018755b9246c7d32d304d054fa0d58444dc9fae66a688",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-06-19T17:32:06Z",
    "title_canon_sha256": "e38e0a65378f673b7bc28a6e5fa8877c45b123c297141c7f8dae053f6a1b72dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06072",
    "kind": "arxiv",
    "version": 1
  }
}