Pith Number

pith:EJV7NSR4

pith:2013:EJV7NSR47EGNL5S7HRSMYOUT6P

not attested not anchored not stored refs pending

If vacuum energy can be negative, why is mass always positive?: Uses of the subdominant trace energy condition

Jacob D. Bekenstein

arxiv:1310.6203 v2 · 2013-10-23 · quant-ph · 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{EJV7NSR47EGNL5S7HRSMYOUT6P}

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

1 paper in Pith

The existence and upper bound for stable photon spheres in static spherically symmetric black holes

Receipt and verification

First computed	2026-05-18T01:46:50.785601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

226bf6ca3cf90cd5f65f3c64cc3a93f3f9758a5f40cf8bf3f5b2a148328bd931

Aliases

arxiv: 1310.6203 · arxiv_version: 1310.6203v2 · doi: 10.48550/arxiv.1310.6203 · pith_short_12: EJV7NSR47EGN · pith_short_16: EJV7NSR47EGNL5S7 · pith_short_8: EJV7NSR4

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/EJV7NSR47EGNL5S7HRSMYOUT6P \
  | 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: 226bf6ca3cf90cd5f65f3c64cc3a93f3f9758a5f40cf8bf3f5b2a148328bd931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e5786c4ac6ebfebc2d952b9fb35affb9009d8985478898f38ba30566c89fcf4",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-10-23T12:27:33Z",
    "title_canon_sha256": "a93e5072f3e2ecf6332173b8f34792cfbf72d6fce4b9db18e6658eacaae679c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6203",
    "kind": "arxiv",
    "version": 2
  }
}