Pith Number

pith:VCCWC57K

pith:2026:VCCWC57K25O5UQDFPBSW754E5D

not attested not anchored not stored refs pending

Singularities, Entropy and the Arrow of Time, {\it or} Is CRT a Gauge Symmetry in Quantum Gravity?

T. Banks

arxiv:2607.03199 v1 · 2026-07-03 · 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{VCCWC57K25O5UQDFPBSW754E5D}

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	2026-07-07T01:16:46.330291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8856177ead75dda406578656ff784e8dd2f970f143a3d53e5a8e391e6128a3e

Aliases

arxiv: 2607.03199 · arxiv_version: 2607.03199v1 · doi: 10.48550/arxiv.2607.03199 · pith_short_12: VCCWC57K25O5 · pith_short_16: VCCWC57K25O5UQDF · pith_short_8: VCCWC57K

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/VCCWC57K25O5UQDFPBSW754E5D \
  | 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: a8856177ead75dda406578656ff784e8dd2f970f143a3d53e5a8e391e6128a3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbee1bd2f8cf0052391945d8de8b96ddccc985ae6f55f2f1842b5664102afd46",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-03T11:08:01Z",
    "title_canon_sha256": "40fbd619b2f789de29535e4da9bdae70210fc504dae8953d992943c1686ca894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03199",
    "kind": "arxiv",
    "version": 1
  }
}