Pith Number

pith:4BZQICKE

pith:2015:4BZQICKEPKTIJNMTNKA6JSQBH3

not attested not anchored not stored refs pending

The Lorentzian proper vertex amplitude: Asymptotics

Antonia Zipfel, Ilya Vilensky, Jonathan Engle

arxiv:1505.06683 v2 · 2015-05-25 · 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{4BZQICKEPKTIJNMTNKA6JSQBH3}

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	2026-05-18T01:04:45.880005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0730409447aa684b5936a81e4ca013eceff36bf2099a5c7a19e117dffd23003

Aliases

arxiv: 1505.06683 · arxiv_version: 1505.06683v2 · doi: 10.48550/arxiv.1505.06683 · pith_short_12: 4BZQICKEPKTI · pith_short_16: 4BZQICKEPKTIJNMT · pith_short_8: 4BZQICKE

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/4BZQICKEPKTIJNMTNKA6JSQBH3 \
  | 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: e0730409447aa684b5936a81e4ca013eceff36bf2099a5c7a19e117dffd23003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dd3b333b9491b6b2b03eed9cd940044722fec728b5833b5c2c447db8e0858ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-05-25T16:35:43Z",
    "title_canon_sha256": "0912942bf85803bdc50d9d5acda7bbf13b4bdf4d7abd77f61047e6e2db3bcc02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06683",
    "kind": "arxiv",
    "version": 2
  }
}