Pith Number

pith:VKZX3RSS

pith:2004:VKZX3RSSNMOGGEOOFDM7N5O5D3

not attested not anchored not stored refs pending

Contact Projective Structures

Daniel J. F. Fox

arxiv:math/0402332 v2 · 2004-02-20 · 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{VKZX3RSSNMOGGEOOFDM7N5O5D3}

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.

Cited by

1 paper in Pith

On certain classes of $Sp(2,R)$ symmetric $G_2$ structures

Receipt and verification

First computed	2026-07-04T17:28:05.405857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aab37dc6526b1c6311ce28d9f6f5dd1ee1af4ad0def6df4fa52a70a757dacd0e

Aliases

arxiv: math/0402332 · arxiv_version: math/0402332v2 · doi: 10.48550/arxiv.math/0402332 · pith_short_12: VKZX3RSSNMOG · pith_short_16: VKZX3RSSNMOGGEOO · pith_short_8: VKZX3RSS

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/VKZX3RSSNMOGGEOOFDM7N5O5D3 \
  | 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: aab37dc6526b1c6311ce28d9f6f5dd1ee1af4ad0def6df4fa52a70a757dacd0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a3de81245c062ae6cf57d4ae10309df47656455473687e9c782fe29209da203",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-02-20T13:01:47Z",
    "title_canon_sha256": "a42955ffb1a1686620729105863612d88996c7a70b5f3060ab00b566bf5cbf44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402332",
    "kind": "arxiv",
    "version": 2
  }
}