Pith Number

pith:FYABXCJ7

pith:2018:FYABXCJ76UYVE3FAUBVD5CNFBX

not attested not anchored not stored refs pending

Duality Pairs Induced by Auslander and Bass Classes

Zhaoyong Huang

arxiv:1809.08850 v2 · 2018-09-24 · 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{FYABXCJ76UYVE3FAUBVD5CNFBX}

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	2026-05-18T00:04:54.236751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e001b893ff531526ca0a06a3e89a50de707762f73d211edc1214a39121a437a

Aliases

arxiv: 1809.08850 · arxiv_version: 1809.08850v2 · doi: 10.48550/arxiv.1809.08850 · pith_short_12: FYABXCJ76UYV · pith_short_16: FYABXCJ76UYVE3FA · pith_short_8: FYABXCJ7

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/FYABXCJ76UYVE3FAUBVD5CNFBX \
  | 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: 2e001b893ff531526ca0a06a3e89a50de707762f73d211edc1214a39121a437a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "597ab0d3bb610f2e0a71c3709ab69c9a004ad7271a378b9b9f01305a4f975ee9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-09-24T11:32:06Z",
    "title_canon_sha256": "8aa148e4a729c2e162740ed366e4e9ded39875e81a5487565352b86fc766fab3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08850",
    "kind": "arxiv",
    "version": 2
  }
}