Pith Number

pith:PHRZDKZJ

pith:2015:PHRZDKZJ5KZVAM3MWZZH7SDYHM

not attested not anchored not stored refs pending

Topologically equisingular deformations of homogeneous hypersurfaces with line singularities are equimultiple

Christophe Eyral

arxiv:1506.07996 v1 · 2015-06-26 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHRZDKZJ5KZVAM3MWZZH7SDYHM}

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	2026-05-18T01:37:48.335742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e391ab29eab350336cb6727fc8783b3b297e5beec048506aff5eb42d4f5849

Aliases

arxiv: 1506.07996 · arxiv_version: 1506.07996v1 · doi: 10.48550/arxiv.1506.07996 · pith_short_12: PHRZDKZJ5KZV · pith_short_16: PHRZDKZJ5KZVAM3M · pith_short_8: PHRZDKZJ

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/PHRZDKZJ5KZVAM3MWZZH7SDYHM \
  | 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: 79e391ab29eab350336cb6727fc8783b3b297e5beec048506aff5eb42d4f5849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3203f722f469a0df0214b5968970c30bc00063ef137c05e82c7ef500560e15b8",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-06-26T08:49:54Z",
    "title_canon_sha256": "1c6b15c3178870a1bc3f96e5d2aef419dfd29004e73a7a0a59210157e41cbf1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07996",
    "kind": "arxiv",
    "version": 1
  }
}