Pith Number

pith:ZRMJOHX4

pith:2016:ZRMJOHX4J52PVVTLZVDTIRRJFY

not attested not anchored not stored refs pending

The minimal free resolution of fat almost complete intersections in $\mathbb{P}^1\times\mathbb{P}^1$

Elena Guardo, Giuseppe Favacchio

arxiv:1605.04769 v3 · 2016-05-16 · math.AG · 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{ZRMJOHX4J52PVVTLZVDTIRRJFY}

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	2026-05-18T01:00:35.115092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc58971efc4f74fad66bcd473446292e1ab4bb36eaf45fe3e5afad3b7787e93d

Aliases

arxiv: 1605.04769 · arxiv_version: 1605.04769v3 · doi: 10.48550/arxiv.1605.04769 · pith_short_12: ZRMJOHX4J52P · pith_short_16: ZRMJOHX4J52PVVTL · pith_short_8: ZRMJOHX4

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/ZRMJOHX4J52PVVTLZVDTIRRJFY \
  | 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: cc58971efc4f74fad66bcd473446292e1ab4bb36eaf45fe3e5afad3b7787e93d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccdf1bcb24ef9b990804d8221a6bd60fd297eb9ca86627fd36e04bb70f9f2f82",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-16T13:39:06Z",
    "title_canon_sha256": "5886cb9108968a950661edea188ad54b78274a20eaa2efc19e4fec41d605f534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04769",
    "kind": "arxiv",
    "version": 3
  }
}