Pith Number

pith:GMUD7NTR

pith:2026:GMUD7NTRJOY7NRF7Q547KQOBYM

not attested not anchored not stored refs pending

Transverse stable causality in Lorentzian foliations

Henrique Amador Puel Martins, Ivan Pontual Costa e Silva, Victor Luis Espinoza

arxiv:2608.06678 v1 · 2026-08-07 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMUD7NTRJOY7NRF7Q547KQOBYM}

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	2026-08-10T01:11:40.986053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33283fb6714bb1f6c4bf8779f541c1c3277337bdce833b2bbe4d84f3df0ab722

Aliases

arxiv: 2608.06678 · arxiv_version: 2608.06678v1 · doi: 10.48550/arxiv.2608.06678 · pith_short_12: GMUD7NTRJOY7 · pith_short_16: GMUD7NTRJOY7NRF7 · pith_short_8: GMUD7NTR

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/GMUD7NTRJOY7NRF7Q547KQOBYM \
  | 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: 33283fb6714bb1f6c4bf8779f541c1c3277337bdce833b2bbe4d84f3df0ab722

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e35c6380923afde91bc9564f5efa2da7a54cb6ea1dfbd95380d3be75a34d5834",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-08-07T00:51:08Z",
    "title_canon_sha256": "269d134f39170bbd56cdd0be2e1a53e92c6e40cf5fe274442403992250847a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06678",
    "kind": "arxiv",
    "version": 1
  }
}