Pith Number

pith:AZGLAAO6

pith:2012:AZGLAAO6MKUFUVAA7SUOYSRJQV

not attested not anchored not stored refs pending

Chern Classes of Logarithmic Derivations for Free Divisors with Jacobian Ideal of Linear Type

Xia Liao

arxiv:1210.6079 v2 · 2012-10-22 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZGLAAO6MKUFUVAA7SUOYSRJQV}

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	2026-05-18T00:32:47.659157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

064cb001de62a85a5400fca8ec4a2985563f5a48f965dd1334fdee5235e45793

Aliases

arxiv: 1210.6079 · arxiv_version: 1210.6079v2 · doi: 10.48550/arxiv.1210.6079 · pith_short_12: AZGLAAO6MKUF · pith_short_16: AZGLAAO6MKUFUVAA · pith_short_8: AZGLAAO6

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/AZGLAAO6MKUFUVAA7SUOYSRJQV \
  | 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: 064cb001de62a85a5400fca8ec4a2985563f5a48f965dd1334fdee5235e45793

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d875e8cee585020e483260305fb2bf723135c72e620816a98126daf20ce2d99c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-22T22:38:26Z",
    "title_canon_sha256": "51bd47f6969e4c05d2a6464d57e81033b486e194c0d0f6686f5855a471078787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6079",
    "kind": "arxiv",
    "version": 2
  }
}