Pith Number

pith:7IRHJQ5W

pith:2012:7IRHJQ5WZ4U7SDCKLPMFYPOR2K

not attested not anchored not stored refs pending

Optimality for totally real immersions and independent mappings of manifolds into C^N

Howard Jacobowitz, Pak Tung Ho, Peter Landweber

arxiv:1203.6871 v1 · 2012-03-30 · 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{7IRHJQ5WZ4U7SDCKLPMFYPOR2K}

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	2026-05-18T03:58:52.071450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa2274c3b6cf29f90c4a5bd85c3dd1d28ee85d7da0a6fca39af407f8e0526aec

Aliases

arxiv: 1203.6871 · arxiv_version: 1203.6871v1 · doi: 10.48550/arxiv.1203.6871 · pith_short_12: 7IRHJQ5WZ4U7 · pith_short_16: 7IRHJQ5WZ4U7SDCK · pith_short_8: 7IRHJQ5W

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/7IRHJQ5WZ4U7SDCKLPMFYPOR2K \
  | 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: fa2274c3b6cf29f90c4a5bd85c3dd1d28ee85d7da0a6fca39af407f8e0526aec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72320106c0c58555b5ce9cb3b041d6a2c39e45c665e3d448e12fa60e28392792",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-03-30T17:47:14Z",
    "title_canon_sha256": "f1771e52b8b99688d2e280d93b168c7abb888deddeab5fa5a074d6968bd26668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6871",
    "kind": "arxiv",
    "version": 1
  }
}