Pith Number

pith:ERGRZSMN

pith:2016:ERGRZSMN2KSFYD3DHSGHO6DWE6

not attested not anchored not stored refs pending

Jaffard families and localizations of star operations

Dario Spirito

arxiv:1610.01442 v1 · 2016-10-05 · 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{ERGRZSMN2KSFYD3DHSGHO6DWE6}

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	2026-05-18T01:03:07.137769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

244d1cc98dd2a45c0f633c8c7778762796fd1fccf0779a405820207ebc081a2b

Aliases

arxiv: 1610.01442 · arxiv_version: 1610.01442v1 · doi: 10.48550/arxiv.1610.01442 · pith_short_12: ERGRZSMN2KSF · pith_short_16: ERGRZSMN2KSFYD3D · pith_short_8: ERGRZSMN

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/ERGRZSMN2KSFYD3DHSGHO6DWE6 \
  | 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: 244d1cc98dd2a45c0f633c8c7778762796fd1fccf0779a405820207ebc081a2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a307102911cc6540b64d6e954bdf06a974d9601f1eb162ae166be930bb5bb5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-10-05T14:27:39Z",
    "title_canon_sha256": "016311567fa2c9550caa8e6cbe43316b7b2b44a13526d238808cfa7caa63f632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01442",
    "kind": "arxiv",
    "version": 1
  }
}