Pith Number

pith:YESBPXPC

pith:2006:YESBPXPCUF7PDMQJDB455GBEID

not attested not anchored not stored refs pending

Averaged null energy condition in spacetimes with boundaries

Christopher J. Fewster, Ken D. Olum, Michael J. Pfenning

arxiv:gr-qc/0609007 v3 · 2006-09-01 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YESBPXPCUF7PDMQJDB455GBEID}

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.

Cited by

2 papers in Pith

Affine ANEC selects the closed FRW branch for geodesically complete cosmology

Open case for a closed universe

Receipt and verification

First computed	2026-07-04T15:17:01.878693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c12417dde2a17ef1b2091879de982440d1fc902cdedac7e61d92fa1ee6a02a00

Aliases

arxiv: gr-qc/0609007 · arxiv_version: gr-qc/0609007v3 · doi: 10.48550/arxiv.gr-qc/0609007 · pith_short_12: YESBPXPCUF7P · pith_short_16: YESBPXPCUF7PDMQJ · pith_short_8: YESBPXPC

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/YESBPXPCUF7PDMQJDB455GBEID \
  | 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: c12417dde2a17ef1b2091879de982440d1fc902cdedac7e61d92fa1ee6a02a00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "431bf50e14a844372292971a854fb93e5646cc668712c88d5e96663fb329c507",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-09-01T15:52:23Z",
    "title_canon_sha256": "49181fdb1f55bc21af64087a10c38d1ef0575f4a1d8b2e1189e45d67b89e09f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0609007",
    "kind": "arxiv",
    "version": 3
  }
}