Pith Number

pith:IMV4NSCW

pith:2010:IMV4NSCWJ67WSXUJCA7SBA7ZL6

not attested not anchored not stored refs pending

Spacetime Averaged Null Energy Condition

Douglas Urban, Ken D. Olum

arxiv:1002.4689 v2 · 2010-02-25 · 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{IMV4NSCWJ67WSXUJCA7SBA7ZL6}

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	2026-05-18T02:33:41.961552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

432bc6c8564fbf695e89103f2083f95f9617d26e4e26f39b8cc15e74db3c8752

Aliases

arxiv: 1002.4689 · arxiv_version: 1002.4689v2 · doi: 10.48550/arxiv.1002.4689 · pith_short_12: IMV4NSCWJ67W · pith_short_16: IMV4NSCWJ67WSXUJ · pith_short_8: IMV4NSCW

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/IMV4NSCWJ67WSXUJCA7SBA7ZL6 \
  | 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: 432bc6c8564fbf695e89103f2083f95f9617d26e4e26f39b8cc15e74db3c8752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b850c56cf425c962c9c6a04d3ca487a0e21eac7055425d3f2630703b1751a7f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-02-25T04:35:35Z",
    "title_canon_sha256": "26b0b75c8dc83944534adf040f9afdc2dcaf7616731c12118a350549699da152"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4689",
    "kind": "arxiv",
    "version": 2
  }
}