Pith Number

pith:FQTHZ3XL

pith:2016:FQTHZ3XLZLF6ZKXQO3HH72D27N

not attested not anchored not stored refs pending

Green's theorem and Gorenstein sequences

Jeaman Ahn, Juan C. Migliore, Yong-Su Shin

arxiv:1609.04650 v1 · 2016-09-15 · 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{FQTHZ3XLZLF6ZKXQO3HH72D27N}

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	2026-05-18T01:04:36.041933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c267ceeebcacbecaaf076ce7fe87afb74e8ef76d1a36170da5830267e8ecc82

Aliases

arxiv: 1609.04650 · arxiv_version: 1609.04650v1 · doi: 10.48550/arxiv.1609.04650 · pith_short_12: FQTHZ3XLZLF6 · pith_short_16: FQTHZ3XLZLF6ZKXQ · pith_short_8: FQTHZ3XL

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/FQTHZ3XLZLF6ZKXQO3HH72D27N \
  | 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: 2c267ceeebcacbecaaf076ce7fe87afb74e8ef76d1a36170da5830267e8ecc82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a1c15bafd4abe2653599617d77fceda91771d7c1cad431b81f14a6ec9a79d96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-09-15T13:56:24Z",
    "title_canon_sha256": "ca447b401540b332bfb568138daaeca60cb35f99bec87a7e6892edc8f72b72f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04650",
    "kind": "arxiv",
    "version": 1
  }
}