Pith Number

pith:XRFL5R65

pith:2016:XRFL5R65KFERTHLQJMGDY7BHHY

not attested not anchored not stored refs pending

Free and Non-free Multiplicities on the $A_3$ Arrangement

Christopher A. Francisco, Jay Schweig, Jeffrey Mermin, Michael DiPasquale

arxiv:1609.00337 v1 · 2016-09-01 · 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{XRFL5R65KFERTHLQJMGDY7BHHY}

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	2026-05-18T01:06:25.126345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc4abec7dd5149199d704b0c3c7c273e272b926ac35995a06f999fac3407a311

Aliases

arxiv: 1609.00337 · arxiv_version: 1609.00337v1 · doi: 10.48550/arxiv.1609.00337 · pith_short_12: XRFL5R65KFER · pith_short_16: XRFL5R65KFERTHLQ · pith_short_8: XRFL5R65

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/XRFL5R65KFERTHLQJMGDY7BHHY \
  | 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: bc4abec7dd5149199d704b0c3c7c273e272b926ac35995a06f999fac3407a311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbb71799537c5c0e7da5b16b8ebcfa6ac82a735b845bfda20df48e4c871fe1de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-09-01T18:25:32Z",
    "title_canon_sha256": "4a5c702f9c3f8b5805e710ac764c19e2511389ef4fb322cc600dd50d09b44e1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00337",
    "kind": "arxiv",
    "version": 1
  }
}