Pith Number

pith:TZ4LFQZF

pith:2026:TZ4LFQZF2I47RGKVXT2C6SO4XN

not attested not anchored not stored refs pending

Spectral Functions of Lorentzian Quantum Gravity

Daniel F. Litim, Gabriel Assant, Manuel Reichert

arxiv:2606.19321 v1 · 2026-06-17 · hep-th · 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{TZ4LFQZF2I47RGKVXT2C6SO4XN}

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	2026-06-19T16:12:11.086803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e78b2c325d239f89955bcf42f49dcbb48201c0af9b8d7c172d912c33980908c

Aliases

arxiv: 2606.19321 · arxiv_version: 2606.19321v1 · doi: 10.48550/arxiv.2606.19321 · pith_short_12: TZ4LFQZF2I47 · pith_short_16: TZ4LFQZF2I47RGKV · pith_short_8: TZ4LFQZF

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/TZ4LFQZF2I47RGKVXT2C6SO4XN \
  | 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: 9e78b2c325d239f89955bcf42f49dcbb48201c0af9b8d7c172d912c33980908c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e5adb4febdb830f8d08cd7c9e7276c0db6318256995868a172c13572200d891",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-17T17:47:50Z",
    "title_canon_sha256": "8293228bb62d5fb65371c72b2a2be0b4485df65b23b622057c7bae0dbdd64a6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19321",
    "kind": "arxiv",
    "version": 1
  }
}