Pith Number

pith:MO7H7BQI

pith:2014:MO7H7BQICHZXSX2CWCCC67DCEQ

not attested not anchored not stored refs pending

Time flat surfaces and the monotonicity of the spacetime Hawking mass II

Hubert L. Bray, Jeffrey L. Jauregui, Marc Mars

arxiv:1402.3287 v1 · 2014-02-13 · math.DG · 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{MO7H7BQICHZXSX2CWCCC67DCEQ}

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	2026-05-18T00:52:42.145681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63be7f860811f3795f42b0842f7c622416a0adfc4e76a12a72c37eacb0336c6a

Aliases

arxiv: 1402.3287 · arxiv_version: 1402.3287v1 · doi: 10.48550/arxiv.1402.3287 · pith_short_12: MO7H7BQICHZX · pith_short_16: MO7H7BQICHZXSX2C · pith_short_8: MO7H7BQI

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/MO7H7BQICHZXSX2CWCCC67DCEQ \
  | 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: 63be7f860811f3795f42b0842f7c622416a0adfc4e76a12a72c37eacb0336c6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99df2ecb5b5703ebf192f4ae03c54093c7404d1c4ea79f211aa660b90c2209e7",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-02-13T20:55:02Z",
    "title_canon_sha256": "7169e6408d6932a1ba1189fa1be4ddd15dc6e895bbe80914cad79b462376e479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3287",
    "kind": "arxiv",
    "version": 1
  }
}