Pith Number

pith:4KIC7WN7

pith:2024:4KIC7WN7JY7AMAAYGLYBVOPS4N

not attested not anchored not stored refs pending

A Mathematica program for numerically computing real and complex critical points in 4-dimensional Lorentzian spinfoam amplitude

Dongxue Qu, Hongguang Liu, Muxin Han

arxiv:2404.10563 v1 · 2024-04-16 · 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{4KIC7WN7JY7AMAAYGLYBVOPS4N}

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.

Cited by

1 paper in Pith

Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives

Receipt and verification

First computed	2026-07-05T08:08:42.067870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2902fd9bf4e3e06001832f01ab9f2e36c3d51a53b436946bf7e3db1fa925f68

Aliases

arxiv: 2404.10563 · arxiv_version: 2404.10563v1 · doi: 10.48550/arxiv.2404.10563 · pith_short_12: 4KIC7WN7JY7A · pith_short_16: 4KIC7WN7JY7AMAAY · pith_short_8: 4KIC7WN7

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/4KIC7WN7JY7AMAAYGLYBVOPS4N \
  | 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: e2902fd9bf4e3e06001832f01ab9f2e36c3d51a53b436946bf7e3db1fa925f68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6c3287c26b2243154e966631cfc8e4ef78528bfeed6197bceb8f869eb6ed68b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-04-16T13:39:14Z",
    "title_canon_sha256": "3967397e38271fb8902f3ae2b63dcbb59ce4f7af2b7ba0e52d71c570101401b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.10563",
    "kind": "arxiv",
    "version": 1
  }
}