Pith Number

pith:EFTITWBH

pith:2009:EFTITWBHHXH35IYXO67XBRI2QI

not attested not anchored not stored refs pending

On the characterization of parabolicity and hyperbolicity of submanifolds

Antonio Esteve, Vicente Palmer

arxiv:0909.0422 v1 · 2009-09-02 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFTITWBHHXH35IYXO67XBRI2QI}

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	2026-05-18T02:58:02.830714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

216689d8273dcfbea31777bf70c51a823a3c5ab920d5d6864a056eacf3ffb2cd

Aliases

arxiv: 0909.0422 · arxiv_version: 0909.0422v1 · doi: 10.48550/arxiv.0909.0422 · pith_short_12: EFTITWBHHXH3 · pith_short_16: EFTITWBHHXH35IYX · pith_short_8: EFTITWBH

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/EFTITWBHHXH35IYXO67XBRI2QI \
  | 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: 216689d8273dcfbea31777bf70c51a823a3c5ab920d5d6864a056eacf3ffb2cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6b4ae84bb58069ba060fce65f9711c912277c828a455acfff0281bf244a3145",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-09-02T13:29:10Z",
    "title_canon_sha256": "457eacef2e422d9b87f4e61b5043dd20843e27156f8191288c8a624b4f3d05f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0422",
    "kind": "arxiv",
    "version": 1
  }
}