Pith Number

pith:X2LZ4OUA

pith:2017:X2LZ4OUADZXAPYNGJO3Y7P3YGT

not attested not anchored not stored refs pending

Global structure of static spherically symmetric solutions surrounded by quintessence

Apratim Ganguly, Emmanuel N. Saridakis, Genly Leon, Miguel Cruz, Radouane Gannouji

arxiv:1702.01754 v2 · 2017-02-06 · 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{X2LZ4OUADZXAPYNGJO3Y7P3YGT}

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	2026-05-18T00:43:39.378347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be979e3a801e6e07e1a64bb78fbf7834fcb712deb86c112d654599c066f9c71e

Aliases

arxiv: 1702.01754 · arxiv_version: 1702.01754v2 · doi: 10.48550/arxiv.1702.01754 · pith_short_12: X2LZ4OUADZXA · pith_short_16: X2LZ4OUADZXAPYNG · pith_short_8: X2LZ4OUA

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/X2LZ4OUADZXAPYNGJO3Y7P3YGT \
  | 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: be979e3a801e6e07e1a64bb78fbf7834fcb712deb86c112d654599c066f9c71e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c09a1d580b591899b4a3182706a5d8e6923bdfc08da78feb38a1c5da214620f9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-02-06T19:00:02Z",
    "title_canon_sha256": "2a9c24c65a2a285c04bd605d3e40fe0c7bcf8eb94b1c59d496ec5479f0a58cf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01754",
    "kind": "arxiv",
    "version": 2
  }
}