Pith Number

pith:HWDDPLSE

pith:2016:HWDDPLSEO72S5NSWHEOK5T7DO2

not attested not anchored not stored refs pending

Codimension two CR singular submanifolds and extensions of CR functions

Alan Noell, Jiri Lebl, Sivaguru Ravisankar

arxiv:1604.02073 v3 · 2016-04-07 · 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{HWDDPLSEO72S5NSWHEOK5T7DO2}

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	2026-05-18T00:08:05.397041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d8637ae4477f52eb656391caecfe3768a71ec797dc19c767d09594cd92db305

Aliases

arxiv: 1604.02073 · arxiv_version: 1604.02073v3 · doi: 10.48550/arxiv.1604.02073 · pith_short_12: HWDDPLSEO72S · pith_short_16: HWDDPLSEO72S5NSW · pith_short_8: HWDDPLSE

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/HWDDPLSEO72S5NSWHEOK5T7DO2 \
  | 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: 3d8637ae4477f52eb656391caecfe3768a71ec797dc19c767d09594cd92db305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "824d31138ca79b70c4b278ac7e032f737236e980f9fa7ad2670b8ebe36080246",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-04-07T16:44:55Z",
    "title_canon_sha256": "e00546d3441ebc5122266ea0566a7ebb6ae06fc7c0e5133495dcc4b3e42ff291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02073",
    "kind": "arxiv",
    "version": 3
  }
}