Pith Number

pith:VEKRC7TT

pith:1993:VEKRC7TTPHJNXIFQK3KLWJTYTS

not attested not anchored not stored refs pending

An illustration of 2+1 gravity loop transform troubles

Donald Marolf

arxiv:gr-qc/9305015 v1 · 1993-05-18 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VEKRC7TTPHJNXIFQK3KLWJTYTS}

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	2026-07-04T14:25:59.512495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a915117e7379d2dba0b056d4bb26789c8243fae50f492c29eb345bf30764d89a

Aliases

arxiv: gr-qc/9305015 · arxiv_version: gr-qc/9305015v1 · doi: 10.48550/arxiv.gr-qc/9305015 · pith_short_12: VEKRC7TTPHJN · pith_short_16: VEKRC7TTPHJNXIFQ · pith_short_8: VEKRC7TT

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/VEKRC7TTPHJNXIFQK3KLWJTYTS \
  | 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: a915117e7379d2dba0b056d4bb26789c8243fae50f492c29eb345bf30764d89a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf30df28816a8af2c4cbbe88aca9a2375badfd303d574f9e6924d1c2fa0bf883",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-05-18T16:57:00Z",
    "title_canon_sha256": "0a19d4db7af6f20e449465a768e793285f7cba78dd7790f25f5eb5f03356ec08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9305015",
    "kind": "arxiv",
    "version": 1
  }
}