Pith Number

pith:3VMRR7LF

pith:2016:3VMRR7LFDOQVKMLBI6DSPKYWBL

not attested not anchored not stored refs pending

A classification of nullity classes in the derived category of a ring

Donald Stanley, Yong Liu

arxiv:1610.09523 v1 · 2016-10-29 · math.CT · 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{3VMRR7LFDOQVKMLBI6DSPKYWBL}

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	2026-05-18T01:00:51.759946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5918fd651ba1553161478727ab160acdf81474532e572c0ae33fd05b51195a

Aliases

arxiv: 1610.09523 · arxiv_version: 1610.09523v1 · doi: 10.48550/arxiv.1610.09523 · pith_short_12: 3VMRR7LFDOQV · pith_short_16: 3VMRR7LFDOQVKMLB · pith_short_8: 3VMRR7LF

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/3VMRR7LFDOQVKMLBI6DSPKYWBL \
  | 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: dd5918fd651ba1553161478727ab160acdf81474532e572c0ae33fd05b51195a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f864ad3324163a2783f3b21d0714a53407c17feb53038b743fa859dc79226b4",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-10-29T15:17:34Z",
    "title_canon_sha256": "52637dd6d52f9fb6e28190cd88f4003c2f21c5acdf896a7f7784b0a057df2b47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09523",
    "kind": "arxiv",
    "version": 1
  }
}