Pith Number

pith:WGEOEVGU

pith:2017:WGEOEVGUVU4GN5BJT4QAWUI4XV

not attested not anchored not stored refs pending

Stability of the Universe Model Coupled with Phantom and Tachyon Fields

M. Sharif, Saadia Mumtaz

arxiv:1706.07659 v2 · 2017-06-21 · 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{WGEOEVGUVU4GN5BJT4QAWUI4XV}

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	2026-07-04T23:51:34.068033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b188e254d4ad3866f4299f200b511cbd6d04b1f333111da90d13d0f52e4b9d2c

Aliases

arxiv: 1706.07659 · arxiv_version: 1706.07659v2 · doi: 10.48550/arxiv.1706.07659 · pith_short_12: WGEOEVGUVU4G · pith_short_16: WGEOEVGUVU4GN5BJ · pith_short_8: WGEOEVGU

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/WGEOEVGUVU4GN5BJT4QAWUI4XV \
  | 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: b188e254d4ad3866f4299f200b511cbd6d04b1f333111da90d13d0f52e4b9d2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c9ce9dddd9e2a2134a5358badec6357f2e174962826cc3be96ba0e90651180",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-06-21T06:40:08Z",
    "title_canon_sha256": "ae5b37ff1cf022002a446927902f15e34df060379d72eec01f7a13ff54740ab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07659",
    "kind": "arxiv",
    "version": 2
  }
}