Pith Number

pith:NYBSIR3V

pith:2011:NYBSIR3VPKCZKHDTNFICNUZVGM

not attested not anchored not stored refs pending

On hyperbolicity and tautness modulo an analytic subset of Hartogs domains

Do Duc Thai, Mai Anh Duc, Nguyen Van Trao, Pascal J. Thomas

arxiv:1112.4148 v1 · 2011-12-18 · 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{NYBSIR3VPKCZKHDTNFICNUZVGM}

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	2026-05-18T00:32:24.220783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e032447757a85951c73695026d3353303af8c56050f1f6f6f5f5f974ee58ce0

Aliases

arxiv: 1112.4148 · arxiv_version: 1112.4148v1 · doi: 10.48550/arxiv.1112.4148 · pith_short_12: NYBSIR3VPKCZ · pith_short_16: NYBSIR3VPKCZKHDT · pith_short_8: NYBSIR3V

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/NYBSIR3VPKCZKHDTNFICNUZVGM \
  | 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: 6e032447757a85951c73695026d3353303af8c56050f1f6f6f5f5f974ee58ce0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e9f7327617d02d1f8f91b0fd479b78c2a642f54d58fc66cff1693977762779",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-12-18T11:32:37Z",
    "title_canon_sha256": "db98383bfb90118ca483d4c52051fc967bb607f17783665cf3c1fe2fb126807d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4148",
    "kind": "arxiv",
    "version": 1
  }
}