Pith Number

pith:SANLMHHJ

pith:2010:SANLMHHJOQLBHFOUCODYJ6DH4V

not attested not anchored not stored refs pending

Optical structures, algebraically special spacetimes, and the Goldberg-Sachs theorem in five dimensions

Arman Taghavi-Chabert

arxiv:1011.6168 v4 · 2010-11-29 · gr-qc · hep-th · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SANLMHHJOQLBHFOUCODYJ6DH4V}

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	2026-05-18T02:23:17.272120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

901ab61ce974161395d4138784f867e5546664cdff01648aaf5832223e623fa0

Aliases

arxiv: 1011.6168 · arxiv_version: 1011.6168v4 · doi: 10.48550/arxiv.1011.6168 · pith_short_12: SANLMHHJOQLB · pith_short_16: SANLMHHJOQLBHFOU · pith_short_8: SANLMHHJ

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/SANLMHHJOQLBHFOUCODYJ6DH4V \
  | 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: 901ab61ce974161395d4138784f867e5546664cdff01648aaf5832223e623fa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "878475156579c1236c428d8c5e5cae9721aef4e568195f21ba416523b3a7726e",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-11-29T09:49:58Z",
    "title_canon_sha256": "d7aa7c38374479a8052e5bcc150e54d9d3b763763a9b124d0e92d9785be45781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6168",
    "kind": "arxiv",
    "version": 4
  }
}