Pith Number

pith:HC45GBLK

pith:2010:HC45GBLKYSZMVEVRBIBSITYO5N

not attested not anchored not stored refs pending

Weakly regular T2 symmetric spacetimes. The global geometry of future developments

Jacques Smulevici, Philippe G. LeFloch

arxiv:1012.5931 v2 · 2010-12-29 · gr-qc · math.AP · 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{HC45GBLKYSZMVEVRBIBSITYO5N}

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	2026-05-18T04:23:34.122763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38b9d3056ac4b2ca92b10a03244f0eeb58bdf91f1a42e846c04222f6aea68d8e

Aliases

arxiv: 1012.5931 · arxiv_version: 1012.5931v2 · doi: 10.48550/arxiv.1012.5931 · pith_short_12: HC45GBLKYSZM · pith_short_16: HC45GBLKYSZMVEVR · pith_short_8: HC45GBLK

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/HC45GBLKYSZMVEVRBIBSITYO5N \
  | 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: 38b9d3056ac4b2ca92b10a03244f0eeb58bdf91f1a42e846c04222f6aea68d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0dd1c1c4addec9f15fa85f2df0eb7d4cc93c6cca8f5bfd4770749ff33ce1c9d",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-29T12:51:15Z",
    "title_canon_sha256": "610730807a6a1cb0fdfccd7a79b069ff22228c80f29cde9bb5d757495c4dda3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5931",
    "kind": "arxiv",
    "version": 2
  }
}