Pith Number

pith:3BLKDIBX

pith:2002:3BLKDIBX5K4OFIA4IRZCIUY2E2

not attested not anchored not stored refs pending

Monopoles near the Planck Scale and Unification

Copenhagen, Denmark) D. A. Ryzhikh (ITEP, H. B. Nielsen (NBI, L. V. Laperashvili (ITEP, Moscow, Russia)

arxiv:hep-th/0211224 v2 · 2002-11-23 · 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{3BLKDIBX5K4OFIA4IRZCIUY2E2}

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	2026-05-18T02:35:53.392473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d856a1a037eab8e2a01c447224531a26ab87fab403d2d525ff5a59e8a5f72121

Aliases

arxiv: hep-th/0211224 · arxiv_version: hep-th/0211224v2 · doi: 10.48550/arxiv.hep-th/0211224 · pith_short_12: 3BLKDIBX5K4O · pith_short_16: 3BLKDIBX5K4OFIA4 · pith_short_8: 3BLKDIBX

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/3BLKDIBX5K4OFIA4IRZCIUY2E2 \
  | 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: d856a1a037eab8e2a01c447224531a26ab87fab403d2d525ff5a59e8a5f72121

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59f2994b332b84ccf382279d8b8e1c2a633b5c3a398cd8f999e5ed93da64ea0e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-11-23T16:31:20Z",
    "title_canon_sha256": "71a712ccb3f69dd973d2efbbbe43e37762d4b1dba4c4416b06f37485eef563f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0211224",
    "kind": "arxiv",
    "version": 2
  }
}