Pith Number

pith:U4D6CX2U

pith:2021:U4D6CX2U3YBSDHVALBKJSNVJPB

not attested not anchored not stored refs pending

Path Integral Complexity and Kasner singularities

Diptarka Das, Pawel Caputa, Sumit R. Das

arxiv:2111.04405 v1 · 2021-11-08 · hep-th · gr-qc · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4D6CX2U3YBSDHVALBKJSNVJPB}

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	2026-07-05T03:57:15.385020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a707e15f54de03219ea058549936a978569f9f81d17b317af130c261d87455c9

Aliases

arxiv: 2111.04405 · arxiv_version: 2111.04405v1 · doi: 10.48550/arxiv.2111.04405 · pith_short_12: U4D6CX2U3YBS · pith_short_16: U4D6CX2U3YBSDHVA · pith_short_8: U4D6CX2U

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/U4D6CX2U3YBSDHVALBKJSNVJPB \
  | 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: a707e15f54de03219ea058549936a978569f9f81d17b317af130c261d87455c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "071eea155574de9b61117c5a523893c635576bf70bfd0d0e5ca14f362a7d8133",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-11-08T12:15:18Z",
    "title_canon_sha256": "74e9faa45f98fefbbc15869b56c8bee2f322e82cb3f14fb8baabaa982c9629c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.04405",
    "kind": "arxiv",
    "version": 1
  }
}