Pith Number

pith:HK5RLFF4

pith:2015:HK5RLFF4NOHXTZHRXMGFB2CTJ7

not attested not anchored not stored refs pending

Freeness versus maximal global Tjurina number for plane curves

Alexandru Dimca

arxiv:1508.04954 v3 · 2015-08-20 · 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{HK5RLFF4NOHXTZHRXMGFB2CTJ7}

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	2026-05-18T00:36:33.570517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3abb1594bc6b8f79e4f1bb0c50e8534ff866070b2e3a96f9f10b7f63bf15e066

Aliases

arxiv: 1508.04954 · arxiv_version: 1508.04954v3 · doi: 10.48550/arxiv.1508.04954 · pith_short_12: HK5RLFF4NOHX · pith_short_16: HK5RLFF4NOHXTZHR · pith_short_8: HK5RLFF4

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/HK5RLFF4NOHXTZHRXMGFB2CTJ7 \
  | 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: 3abb1594bc6b8f79e4f1bb0c50e8534ff866070b2e3a96f9f10b7f63bf15e066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8862b7e30a2200c804449d6fde61db620bdd61cb8d137fd9ee1f1b07cb822c91",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-20T11:03:36Z",
    "title_canon_sha256": "e9c4cdf4e5e0d328affcee4aa7e2ba46883660f7ccf15b0a342d481f2d9877ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04954",
    "kind": "arxiv",
    "version": 3
  }
}