Pith Number

pith:ETBDCKTU

pith:2013:ETBDCKTUVSKSKZXLFT2OZH2SH7

not attested not anchored not stored refs pending

Phantom mass gravitational effects

Ll. Bel

arxiv:1311.6891 v1 · 2013-11-27 · 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{ETBDCKTUVSKSKZXLFT2OZH2SH7}

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	2026-05-18T03:06:05.269522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24c2312a74ac952566eb2cf4ec9f523ff101355847aa62125df0e658b17da19a

Aliases

arxiv: 1311.6891 · arxiv_version: 1311.6891v1 · doi: 10.48550/arxiv.1311.6891 · pith_short_12: ETBDCKTUVSKS · pith_short_16: ETBDCKTUVSKSKZXL · pith_short_8: ETBDCKTU

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/ETBDCKTUVSKSKZXLFT2OZH2SH7 \
  | 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: 24c2312a74ac952566eb2cf4ec9f523ff101355847aa62125df0e658b17da19a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98673b1fe2a406db061da1a4397d3a3b85a72162459548c231ad7c0c500c77fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-11-27T07:54:57Z",
    "title_canon_sha256": "6ba9acfb530fa8cd69d237ffd47786208a6ef2d53aa33b396404df449bf2f5dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6891",
    "kind": "arxiv",
    "version": 1
  }
}