Pith Number

pith:UPV5WAYH

pith:2007:UPV5WAYHEVFKNOH5ET7VYLOE6N

not attested not anchored not stored refs pending

A primer on the (2+1) Einstein universe

Karin Melnick, Thierry Barbot, Todd Drumm, Virginie Charette, William M. Goldman

arxiv:0706.3055 v1 · 2007-06-20 · 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{UPV5WAYHEVFKNOH5ET7VYLOE6N}

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	2026-05-18T04:18:35.123228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3ebdb0307254aa6b8fd24ff5c2dc4f367dcf2c96dba3b341f7bd63426a548b4

Aliases

arxiv: 0706.3055 · arxiv_version: 0706.3055v1 · doi: 10.48550/arxiv.0706.3055 · pith_short_12: UPV5WAYHEVFK · pith_short_16: UPV5WAYHEVFKNOH5 · pith_short_8: UPV5WAYH

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/UPV5WAYHEVFKNOH5ET7VYLOE6N \
  | 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: a3ebdb0307254aa6b8fd24ff5c2dc4f367dcf2c96dba3b341f7bd63426a548b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d459c29aeb2ff818626000b7bea83b7ecfdd23266f57762a841ff42ddd46b3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-06-20T20:17:24Z",
    "title_canon_sha256": "48bbc3a389dec508ea56445952d6710880dae9f9b9b3493f99117458714449f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3055",
    "kind": "arxiv",
    "version": 1
  }
}