Pith Number

pith:RPELMPQW

pith:2021:RPELMPQWYSI27DRZFQJLTYOL5A

not attested not anchored not stored refs pending

The World in a Grain of Sand: Condensing the String Vacuum Degeneracy

M. Zaid Zaz, Shailesh Lal, Yang-Hui He

arxiv:2111.04761 v1 · 2021-11-08 · hep-th · hep-ph · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPELMPQWYSI27DRZFQJLTYOL5A}

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	2026-07-05T03:44:26.001065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bc8b63e16c491af8e392c12b9e1cbe83db699742074e02ed35608e386235bd3

Aliases

arxiv: 2111.04761 · arxiv_version: 2111.04761v1 · doi: 10.48550/arxiv.2111.04761 · pith_short_12: RPELMPQWYSI2 · pith_short_16: RPELMPQWYSI27DRZ · pith_short_8: RPELMPQW

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/RPELMPQWYSI27DRZFQJLTYOL5A \
  | 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: 8bc8b63e16c491af8e392c12b9e1cbe83db699742074e02ed35608e386235bd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e682f3b0cd4f27010ff48594e9753c2070dc44bb1463897e9d248e6c6b20579",
    "cross_cats_sorted": [
      "hep-ph",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-11-08T19:00:14Z",
    "title_canon_sha256": "9b13df346c909341fff61562e1e55a5f33facced6f10c5b555eb89e8a388f96a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.04761",
    "kind": "arxiv",
    "version": 1
  }
}