Pith Number

pith:GBJLUGNJ

pith:2018:GBJLUGNJQ6JG3QNWEN735R2JX2

not attested not anchored not stored refs pending

Homological criteria for minimal multiplicity

John Myers

arxiv:1803.05454 v2 · 2018-03-14 · math.AC · 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{GBJLUGNJQ6JG3QNWEN735R2JX2}

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	2026-05-17T23:55:59.315883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3052ba19a987926dc1b6237fbec749be8c6890f82061273d3785d969e39d780c

Aliases

arxiv: 1803.05454 · arxiv_version: 1803.05454v2 · doi: 10.48550/arxiv.1803.05454 · pith_short_12: GBJLUGNJQ6JG · pith_short_16: GBJLUGNJQ6JG3QNW · pith_short_8: GBJLUGNJ

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/GBJLUGNJQ6JG3QNWEN735R2JX2 \
  | 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: 3052ba19a987926dc1b6237fbec749be8c6890f82061273d3785d969e39d780c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e99f960a7638433a4d2dd324550ec9d45d1950f085948c97f491407de7544b6e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-03-14T18:03:18Z",
    "title_canon_sha256": "a2b63862e54200b17ce875348d475db7794d41e0e0157b14cc462cca7fd7df7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05454",
    "kind": "arxiv",
    "version": 2
  }
}