Pith Number

pith:F4ESVGQS

pith:2010:F4ESVGQS7H6AQCC4Y7VLPKWRZ5

not attested not anchored not stored refs pending

Jang's equation and its applications to marginally trapped surfaces

Jan Metzger, Lars Andersson, Michael Eichmair

arxiv:1006.4601 v2 · 2010-06-23 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4ESVGQS7H6AQCC4Y7VLPKWRZ5}

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	2026-05-18T04:35:14.722124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f092a9a12f9fc08085cc7eab7aad1cf52d0f66ae1be2a8264c37738071bc0d2

Aliases

arxiv: 1006.4601 · arxiv_version: 1006.4601v2 · doi: 10.48550/arxiv.1006.4601 · pith_short_12: F4ESVGQS7H6A · pith_short_16: F4ESVGQS7H6AQCC4 · pith_short_8: F4ESVGQS

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/F4ESVGQS7H6AQCC4Y7VLPKWRZ5 \
  | 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: 2f092a9a12f9fc08085cc7eab7aad1cf52d0f66ae1be2a8264c37738071bc0d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d50946be03fd11771ddc0e71fc82fc23196812c2b1eed03ac80370fa749a8f6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-06-23T17:50:01Z",
    "title_canon_sha256": "d28ff41444eaf046ed1c656dc208837425a6c2b5f413676266b4f5a3dca1ba77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4601",
    "kind": "arxiv",
    "version": 2
  }
}