Pith Number

pith:WFANBNFE

pith:2012:WFANBNFE7UZI25MLJZHOVLG5V6

not attested not anchored not stored refs pending

Marginally trapped submanifolds in Lorentzian space forms and in the Lorentzian product of a space form by the real line

Henri Anciaux, Yamile Godoy

arxiv:1209.5118 v3 · 2012-09-23 · 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{WFANBNFE7UZI25MLJZHOVLG5V6}

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	2026-05-18T02:29:08.567632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b140d0b4a4fd328d758b4e4eeaacddaf93ff92ab19eee530454297fefb4c26c1

Aliases

arxiv: 1209.5118 · arxiv_version: 1209.5118v3 · doi: 10.48550/arxiv.1209.5118 · pith_short_12: WFANBNFE7UZI · pith_short_16: WFANBNFE7UZI25ML · pith_short_8: WFANBNFE

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/WFANBNFE7UZI25MLJZHOVLG5V6 \
  | 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: b140d0b4a4fd328d758b4e4eeaacddaf93ff92ab19eee530454297fefb4c26c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cee6470120ba0819893db2c032a289d98180ee35b6f866ad2b8e81819170069f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-23T22:09:39Z",
    "title_canon_sha256": "901eb20f7b4a1991c71778821d4a1015a95b9f74596c3a98b3e1c2207b7b2fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5118",
    "kind": "arxiv",
    "version": 3
  }
}