Pith Number

pith:FZMRSXUC

pith:2015:FZMRSXUCWBSWHQFXF576KJ3IS4

not attested not anchored not stored refs pending

Charged Vaidya Solution Satisfies Weak Energy Condition

Amitabh Virmani, Soumyabrata Chatterjee, Suman Ganguli

arxiv:1512.02422 v2 · 2015-12-08 · 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{FZMRSXUCWBSWHQFXF576KJ3IS4}

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	2026-05-18T01:12:16.975421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e59195e82b06563c0b72f7fe527689735241f458a177c9a84d1010bccbef8a1

Aliases

arxiv: 1512.02422 · arxiv_version: 1512.02422v2 · doi: 10.48550/arxiv.1512.02422 · pith_short_12: FZMRSXUCWBSW · pith_short_16: FZMRSXUCWBSWHQFX · pith_short_8: FZMRSXUC

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/FZMRSXUCWBSWHQFXF576KJ3IS4 \
  | 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: 2e59195e82b06563c0b72f7fe527689735241f458a177c9a84d1010bccbef8a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcf030658f80f37e39832af5342c5ca7fd440ac3be09fe82e95c96e3125a1bca",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-08T12:21:15Z",
    "title_canon_sha256": "106a75134de8d374a459e93f3bd2bb380251b06aa99a8cc908afbee9ae3e285a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02422",
    "kind": "arxiv",
    "version": 2
  }
}