Pith Number

pith:777YGTF2

pith:1999:777YGTF275ABQPG6XEGMEMSKDK

not attested not anchored not stored refs pending

Analytic approximation and an improved method for computing the stress-energy of quantized scalar fields in Robertson-Walker spacetimes

Paul R. Anderson, Wayne Eaker

arxiv:gr-qc/9906055 v1 · 1999-06-15 · 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{777YGTF275ABQPG6XEGMEMSKDK}

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	2026-05-18T01:08:01.052815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffff834cbaff40183cdeb90cc2324a1aaf9403b67eb292ca352af00a1b34fcf8

Aliases

arxiv: gr-qc/9906055 · arxiv_version: gr-qc/9906055v1 · doi: 10.48550/arxiv.gr-qc/9906055 · pith_short_12: 777YGTF275AB · pith_short_16: 777YGTF275ABQPG6 · pith_short_8: 777YGTF2

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/777YGTF275ABQPG6XEGMEMSKDK \
  | 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: ffff834cbaff40183cdeb90cc2324a1aaf9403b67eb292ca352af00a1b34fcf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "686acc03b06a63cfd20a7bdbd696672aae25575ab81b061b3b9611ea0b20a76f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-06-15T22:01:23Z",
    "title_canon_sha256": "049a574c6e6b582c8c52edd3e917c20c3d43866067f570b66f320d7a1917909b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9906055",
    "kind": "arxiv",
    "version": 1
  }
}