Pith Number

pith:LZQX2BVY

pith:2012:LZQX2BVYQ3URBY5IAS5V5DMJ3I

not attested not anchored not stored refs pending

On the spinorial representation of spacelike surfaces into 4-dimensional Minkowski space

Pierre Bayard

arxiv:1212.3543 v1 · 2012-12-14 · 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{LZQX2BVYQ3URBY5IAS5V5DMJ3I}

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	2026-05-18T01:52:38.108934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e617d06b886e910e3a804bb5e8d89da3c519acda21462b68180c2c1769cfa31

Aliases

arxiv: 1212.3543 · arxiv_version: 1212.3543v1 · doi: 10.48550/arxiv.1212.3543 · pith_short_12: LZQX2BVYQ3UR · pith_short_16: LZQX2BVYQ3URBY5I · pith_short_8: LZQX2BVY

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/LZQX2BVYQ3URBY5IAS5V5DMJ3I \
  | 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: 5e617d06b886e910e3a804bb5e8d89da3c519acda21462b68180c2c1769cfa31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a3f0341818a6bcf7d236a0e00d73b49c9a4a970221cdd4cab38bfc9a4fac76a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-14T17:40:15Z",
    "title_canon_sha256": "2473b70e7f09ba87b0a494b1a7b16f431e9a7bfe8859957c38c5f0712b73c96f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3543",
    "kind": "arxiv",
    "version": 1
  }
}