Pith Number

pith:FL4IZ4RM

pith:2018:FL4IZ4RMR4RLT2R4XPR7NZL3P3

not attested not anchored not stored refs pending

Newton complementary duals of $f$-ideals

Adam Van Tuyl, Samuel Budd

arxiv:1804.00686 v2 · 2018-04-02 · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FL4IZ4RMR4RLT2R4XPR7NZL3P3}

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	2026-07-04T23:56:34.367440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2af88cf22c8f22b9ea3cbbe3f6e57b7ed83583a8ab54e3ccd6fb925ec3bed20f

Aliases

arxiv: 1804.00686 · arxiv_version: 1804.00686v2 · doi: 10.48550/arxiv.1804.00686 · pith_short_12: FL4IZ4RMR4RL · pith_short_16: FL4IZ4RMR4RLT2R4 · pith_short_8: FL4IZ4RM

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/FL4IZ4RMR4RLT2R4XPR7NZL3P3 \
  | 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: 2af88cf22c8f22b9ea3cbbe3f6e57b7ed83583a8ab54e3ccd6fb925ec3bed20f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dfea57d02a48e6c6ba297b322970926b511245bf293e59569f9bba20c9ee66b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-04-02T18:28:10Z",
    "title_canon_sha256": "b15e4dca81fafb450052fa4ce1d55bdb475448fd887294881bfc65c5573226b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00686",
    "kind": "arxiv",
    "version": 2
  }
}