Pith Number

pith:ARVKROL3

pith:2017:ARVKROL3TSTUXI5CWJDABJVXFW

not attested not anchored not stored refs pending

Modal operators and toric ideals

Fabio Rapallo, Giovanni Pistone, Riccardo Camerlo

arxiv:1712.04191 v2 · 2017-12-12 · math.LO · 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{ARVKROL3TSTUXI5CWJDABJVXFW}

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	2026-05-17T23:55:29.716168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

046aa8b97b9ca74ba3a2b24600a6b72da93c2e11ae237045aa1ff38242f1cd17

Aliases

arxiv: 1712.04191 · arxiv_version: 1712.04191v2 · doi: 10.48550/arxiv.1712.04191 · pith_short_12: ARVKROL3TSTU · pith_short_16: ARVKROL3TSTUXI5C · pith_short_8: ARVKROL3

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/ARVKROL3TSTUXI5CWJDABJVXFW \
  | 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: 046aa8b97b9ca74ba3a2b24600a6b72da93c2e11ae237045aa1ff38242f1cd17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30aec92aef21322ce547252e79abb5e2b542848d2ca8c72cc3429dbb364df9c1",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-12-12T09:48:17Z",
    "title_canon_sha256": "9e85fc0ab3aeb22e4837354eb91a118cf972bcc26dba75c1d2fa8cd3adaecc7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04191",
    "kind": "arxiv",
    "version": 2
  }
}