Pith Number

pith:M6BNPZYY

pith:2012:M6BNPZYYLIMVSYF2LM5563OA5T

not attested not anchored not stored refs pending

CR singular images of generic submanifolds under holomorphic maps

Andr\'e Minor, Duong Son, Jiri Lebl, Ravi Shroff, Yuan Zhang

arxiv:1205.5309 v2 · 2012-05-24 · 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{M6BNPZYYLIMVSYF2LM5563OA5T}

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	2026-05-18T02:18:22.375388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6782d7e7185a195960ba5b3bdf6dc0ecc8983963191686034f67c646b0e5d432

Aliases

arxiv: 1205.5309 · arxiv_version: 1205.5309v2 · doi: 10.48550/arxiv.1205.5309 · pith_short_12: M6BNPZYYLIMV · pith_short_16: M6BNPZYYLIMVSYF2 · pith_short_8: M6BNPZYY

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/M6BNPZYYLIMVSYF2LM5563OA5T \
  | 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: 6782d7e7185a195960ba5b3bdf6dc0ecc8983963191686034f67c646b0e5d432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11af2395a060725fdf1748993f8a437330b0acc0306fae9f12ce04eaa69be402",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-05-24T00:08:55Z",
    "title_canon_sha256": "a6e95184ff695c3afaa4d93d200aa9485ddd7f04f4f10a24cf135f926d0613af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5309",
    "kind": "arxiv",
    "version": 2
  }
}