Pith Number

pith:X4Z6QQZH

pith:2016:X4Z6QQZHC35774CQ5JLSGOESUY

not attested not anchored not stored refs pending

The intersection of a hyperplane with a lightcone in the Minkowski spacetime

Pengyu Le

arxiv:1601.01567 v2 · 2016-01-07 · 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{X4Z6QQZHC35774CQ5JLSGOESUY}

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	2026-05-17T23:39:42.384956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf33e8432716fbfff050ea57233892a63bc63948828ad5a3d63aec8523bfc75a

Aliases

arxiv: 1601.01567 · arxiv_version: 1601.01567v2 · doi: 10.48550/arxiv.1601.01567 · pith_short_12: X4Z6QQZHC357 · pith_short_16: X4Z6QQZHC35774CQ · pith_short_8: X4Z6QQZH

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/X4Z6QQZHC35774CQ5JLSGOESUY \
  | 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: bf33e8432716fbfff050ea57233892a63bc63948828ad5a3d63aec8523bfc75a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec0a9e62cd1ebcc4014960de12526ac7e0fe417dc289d3a00be295e2ba88746e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-07T15:38:02Z",
    "title_canon_sha256": "5885f4c70901f71a776f5713704c03c5414df3e5ab018d80ccda4b47df82c737"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01567",
    "kind": "arxiv",
    "version": 2
  }
}