Pith Number

pith:Q67RXCCB

pith:2007:Q67RXCCB5SPNY5GZ45KBANAZH5

not attested not anchored not stored refs pending

Effects of Schwarzschild Geometry on Isothermal Plasma Wave Dispersion

M. Sharif, Umber Sheikh

arxiv:0712.0655 v1 · 2007-12-05 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q67RXCCB5SPNY5GZ45KBANAZH5}

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	2026-05-18T04:14:36.681439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87bf1b8841ec9edc74d9e7541034193f6b2a64302f26ae29802577a5a8899fe4

Aliases

arxiv: 0712.0655 · arxiv_version: 0712.0655v1 · doi: 10.48550/arxiv.0712.0655 · pith_short_12: Q67RXCCB5SPN · pith_short_16: Q67RXCCB5SPNY5GZ · pith_short_8: Q67RXCCB

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/Q67RXCCB5SPNY5GZ45KBANAZH5 \
  | 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: 87bf1b8841ec9edc74d9e7541034193f6b2a64302f26ae29802577a5a8899fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dedd6cb8cce30477ca8e8fa09dfa3bb3289a1c0600eec44eeb3eea966db53311",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-12-05T05:55:45Z",
    "title_canon_sha256": "71e126f2d81fddd5e0fa62387f5c2b90460dd681b4c2c8f0b120ec01b852194a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0655",
    "kind": "arxiv",
    "version": 1
  }
}