Pith Number

pith:S5BVXY3C

pith:2009:S5BVXY3C6S6POVT3HDIOLLNGUO

not attested not anchored not stored refs pending

A Characterisation of Manhart's Relative Normal Vector Fields

Steven Verpoort

arxiv:0912.4063 v1 · 2009-12-20 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5BVXY3C6S6POVT3HDIOLLNGUO}

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	2026-07-04T17:18:10.335844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97435be362f4bcf7567b38d0e5ada6a39acddc5e2b2ec3f06d3ad98d971c4e5c

Aliases

arxiv: 0912.4063 · arxiv_version: 0912.4063v1 · doi: 10.48550/arxiv.0912.4063 · pith_short_12: S5BVXY3C6S6P · pith_short_16: S5BVXY3C6S6POVT3 · pith_short_8: S5BVXY3C

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/S5BVXY3C6S6POVT3HDIOLLNGUO \
  | 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: 97435be362f4bcf7567b38d0e5ada6a39acddc5e2b2ec3f06d3ad98d971c4e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11c4168b1ef2675cc6dcc6b97687ec4d99829ac439ab7a6af16a33d140abe279",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-20T23:52:38Z",
    "title_canon_sha256": "c7e4914f759a6d98b4705324613fb2479feb2a7881b6270fb3bd794b5e95fddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4063",
    "kind": "arxiv",
    "version": 1
  }
}