Pith Number

pith:G4HMLNEV

pith:2015:G4HMLNEVZJGIINIVKBZBPZR7TT

not attested not anchored not stored refs pending

Asymptotic Cones of Embedded Singular Spaces

Jean-Marie Morvan, Xiang Sun

arxiv:1501.02639 v1 · 2015-01-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G4HMLNEVZJGIINIVKBZBPZR7TT}

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	2026-05-18T02:29:37.587521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

370ec5b495ca4c843515507217e63f9cf74548e6812f946c681073e079894fc8

Aliases

arxiv: 1501.02639 · arxiv_version: 1501.02639v1 · doi: 10.48550/arxiv.1501.02639 · pith_short_12: G4HMLNEVZJGI · pith_short_16: G4HMLNEVZJGIINIV · pith_short_8: G4HMLNEV

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/G4HMLNEVZJGIINIVKBZBPZR7TT \
  | 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: 370ec5b495ca4c843515507217e63f9cf74548e6812f946c681073e079894fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43b1fc32ea7c881c7780a6b0b6054b804131581a811045f549449af2a4432ab9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-01-12T13:38:37Z",
    "title_canon_sha256": "c43a55b9307fa233fc181e5fd48a260fbf81814be8912c26d0c1f8b570ccfe75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02639",
    "kind": "arxiv",
    "version": 1
  }
}