Pith Number

pith:5U3SO6TZ

pith:2012:5U3SO6TZDQGWLDLSIX3J43OFRE

not attested not anchored not stored refs pending

2+1 gravity on the conformal sphere

Flavio Mercati, Sean Gryb

arxiv:1209.4858 v1 · 2012-09-21 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5U3SO6TZDQGWLDLSIX3J43OFRE}

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	2026-05-18T03:29:50.829534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed37277a791c0d658d7245f69e6dc589147100aca3c559289d44ba50e2ad4bb2

Aliases

arxiv: 1209.4858 · arxiv_version: 1209.4858v1 · doi: 10.48550/arxiv.1209.4858 · pith_short_12: 5U3SO6TZDQGW · pith_short_16: 5U3SO6TZDQGWLDLS · pith_short_8: 5U3SO6TZ

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/5U3SO6TZDQGWLDLSIX3J43OFRE \
  | 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: ed37277a791c0d658d7245f69e6dc589147100aca3c559289d44ba50e2ad4bb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b210e7ec085349f5c72fb96eeef6da75e5ac9408a5d0d2cbc70e93c107d2f7d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-09-21T16:29:30Z",
    "title_canon_sha256": "951b4d74f4683833ced2b82255172f23143d0d5a20fb5ebbecb16c269853c7f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4858",
    "kind": "arxiv",
    "version": 1
  }
}