Pith Number

pith:QYF6LIJ3

pith:2014:QYF6LIJ3SAXBN4MNU3OMRXUY4P

not attested not anchored not stored refs pending

Codimension two marginally trapped submanifolds in Robertson-Walker spaces

Henri Anciaux, Nastassja Cipriani

arxiv:1406.5519 v3 · 2014-06-20 · math.DG · 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{QYF6LIJ3SAXBN4MNU3OMRXUY4P}

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	2026-05-18T01:42:52.182175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

860be5a13b902e16f18da6dcc8de98e3f445592cd1c337eaa6a0bd30cdaa19d4

Aliases

arxiv: 1406.5519 · arxiv_version: 1406.5519v3 · doi: 10.48550/arxiv.1406.5519 · pith_short_12: QYF6LIJ3SAXB · pith_short_16: QYF6LIJ3SAXBN4MN · pith_short_8: QYF6LIJ3

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/QYF6LIJ3SAXBN4MNU3OMRXUY4P \
  | 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: 860be5a13b902e16f18da6dcc8de98e3f445592cd1c337eaa6a0bd30cdaa19d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "773fdc81a03993c6a378d0399651d21a9159911388979020842a5e67ce3bfe31",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-06-20T20:09:13Z",
    "title_canon_sha256": "3e60e511e5d2620f937a029ebce85a128901a73722a020b1bd7ed8ccc6834a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5519",
    "kind": "arxiv",
    "version": 3
  }
}