Pith Number

pith:LSUBUDNH

pith:2003:LSUBUDNHYFHJSXSYWSX4DLFC2Y

not attested not anchored not stored refs pending

On CP1 and CP2 maps and Weierstrass representations for surfaces immersed into multi-dimensional Euclidean spaces

A. M. Grundland, W. J. Zakrzewski

arxiv:math/0309097 v1 · 2003-09-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSUBUDNHYFHJSXSYWSX4DLFC2Y}

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	2026-05-18T01:38:28.867324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ca81a0da7c14e995e58b4afc1aca2d618553c8dd6d2a8126af62f0b650b7e97

Aliases

arxiv: math/0309097 · arxiv_version: math/0309097v1 · doi: 10.48550/arxiv.math/0309097 · pith_short_12: LSUBUDNHYFHJ · pith_short_16: LSUBUDNHYFHJSXSY · pith_short_8: LSUBUDNH

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/LSUBUDNHYFHJSXSYWSX4DLFC2Y \
  | 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: 5ca81a0da7c14e995e58b4afc1aca2d618553c8dd6d2a8126af62f0b650b7e97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4c15ee728281ba08bb7e6666e51155a27f032443e41635c01f2c94e3fdc8505",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2003-09-05T14:50:38Z",
    "title_canon_sha256": "268f4288975bb32fb1d111a03f94ae4b99214098c567e6a1ac128e1ed51e9bad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309097",
    "kind": "arxiv",
    "version": 1
  }
}