Pith Number

pith:XTI4TXFT

pith:2016:XTI4TXFTBXLNDESN5HS2IVWRV5

not attested not anchored not stored refs pending

Stochastic Einstein equations with fluctuating volume

Hernando Quevedo, Vladimir Dzhunushaliev

arxiv:1603.00951 v1 · 2016-03-03 · 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{XTI4TXFTBXLNDESN5HS2IVWRV5}

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	2026-05-18T00:36:04.061668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcd1c9dcb30dd6d1924de9e5a456d1af4c2df67f3afc002fed62156b24f6a8f2

Aliases

arxiv: 1603.00951 · arxiv_version: 1603.00951v1 · doi: 10.48550/arxiv.1603.00951 · pith_short_12: XTI4TXFTBXLN · pith_short_16: XTI4TXFTBXLNDESN · pith_short_8: XTI4TXFT

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/XTI4TXFTBXLNDESN5HS2IVWRV5 \
  | 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: bcd1c9dcb30dd6d1924de9e5a456d1af4c2df67f3afc002fed62156b24f6a8f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c697e0c9d6c73dbe9743b705475fb14f97adcac04104fa3811e7a974f5f258c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-03T02:44:09Z",
    "title_canon_sha256": "f2dfe73e7c4b6f6a3829d117e52491dbe2317c39ea96d32122dcd188bc4e3a74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00951",
    "kind": "arxiv",
    "version": 1
  }
}