Pith Number

pith:GYMUD7Y4

pith:2000:GYMUD7Y46Q5XO7EX73SBFZHTZE

not attested not anchored not stored refs pending

Monopoles and the Emergence of Black Hole Entropy

Arthur Lue, Erick J. Weinberg (Columbia)

arxiv:gr-qc/0004001 v1 · 2000-04-01 · gr-qc · astro-ph · hep-ph · 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{GYMUD7Y46Q5XO7EX73SBFZHTZE}

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	2026-05-18T01:39:24.896163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

361941ff1cf43b777c97fee412e4f3c919e9a3ccf8a7e3131551ae8dddb875d2

Aliases

arxiv: gr-qc/0004001 · arxiv_version: gr-qc/0004001v1 · doi: 10.48550/arxiv.gr-qc/0004001 · pith_short_12: GYMUD7Y46Q5X · pith_short_16: GYMUD7Y46Q5XO7EX · pith_short_8: GYMUD7Y4

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/GYMUD7Y46Q5XO7EX73SBFZHTZE \
  | 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: 361941ff1cf43b777c97fee412e4f3c919e9a3ccf8a7e3131551ae8dddb875d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c95654f97e1d063f9a89f24f463bcd1c363e7c06e7bfbe99d89414590623916",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-04-01T00:09:28Z",
    "title_canon_sha256": "fe004b5dfb6d795b0b57a6b60ea2921f2dbbf5759fe38de9fc14fad65915b7f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0004001",
    "kind": "arxiv",
    "version": 1
  }
}