Pith Number

pith:P4GOVFJX

pith:2026:P4GOVFJXM4VKKQX3SK6JQKFZOZ

not attested not anchored not stored refs pending

Overcrowding and the Finite-$N$ Hilbert Space

Anik Rudra, Augustine Larweh Mahu, Robert de Mello Koch

arxiv:2607.23025 v1 · 2026-07-25 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4GOVFJXM4VKKQX3SK6JQKFZOZ}

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	2026-07-28T00:22:08.294271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f0cea9537672aa542fb92bc9828b9766adb8cadaa28d092f71c0c07fc727185

Aliases

arxiv: 2607.23025 · arxiv_version: 2607.23025v1 · doi: 10.48550/arxiv.2607.23025 · pith_short_12: P4GOVFJXM4VK · pith_short_16: P4GOVFJXM4VKKQX3 · pith_short_8: P4GOVFJX

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/P4GOVFJXM4VKKQX3SK6JQKFZOZ \
  | 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: 7f0cea9537672aa542fb92bc9828b9766adb8cadaa28d092f71c0c07fc727185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "460557022d4335e67ea9cd08cc6961b0b65b242df1c63f63623ef63f1b819049",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-25T03:52:58Z",
    "title_canon_sha256": "cda70c6e1afd7167a7ebf8297ef5823d9ab51107236b1c54ca2061e86823a415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23025",
    "kind": "arxiv",
    "version": 1
  }
}