Pith Number

pith:A7KYRNMO

pith:2016:A7KYRNMOL54NRAFQQ2IIXPGJGT

not attested not anchored not stored refs pending

Chains of semidualizing modules

Ensiyeh Amanzadeh

arxiv:1611.05790 v1 · 2016-11-17 · 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{A7KYRNMOL54NRAFQQ2IIXPGJGT}

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	2026-05-18T00:58:02.568475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07d588b58e5f78d880b086908bbcc934d8728849a4f50a6a5708e313b0b78397

Aliases

arxiv: 1611.05790 · arxiv_version: 1611.05790v1 · doi: 10.48550/arxiv.1611.05790 · pith_short_12: A7KYRNMOL54N · pith_short_16: A7KYRNMOL54NRAFQ · pith_short_8: A7KYRNMO

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/A7KYRNMOL54NRAFQQ2IIXPGJGT \
  | 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: 07d588b58e5f78d880b086908bbcc934d8728849a4f50a6a5708e313b0b78397

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc82dbf5d92c3a6480153797a2893cb37adbcade1f159b94fbc474cd4030ce7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-11-17T17:23:42Z",
    "title_canon_sha256": "07421183c20b051476260b493051d0db5a08e8f97d3fec9085a507fc3ea8369f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05790",
    "kind": "arxiv",
    "version": 1
  }
}