Pith Number

pith:QL6IJ567

pith:2003:QL6IJ5676RGVB2O3JPGTJJS7DJ

not attested not anchored not stored refs pending

String Unification of Gauge Couplings with Intersecting D-branes

Ralph Blumenhagen

arxiv:hep-th/0309146 v2 · 2003-09-15 · 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{QL6IJ5676RGVB2O3JPGTJJS7DJ}

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	2026-07-04T14:32:00.946816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82fc84f7dff44d50e9db4bcd34a65f1a5a5581152dec705ea83e0ffc7a9ff6ab

Aliases

arxiv: hep-th/0309146 · arxiv_version: hep-th/0309146v2 · doi: 10.48550/arxiv.hep-th/0309146 · pith_short_12: QL6IJ5676RGV · pith_short_16: QL6IJ5676RGVB2O3 · pith_short_8: QL6IJ567

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/QL6IJ5676RGVB2O3JPGTJJS7DJ \
  | 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: 82fc84f7dff44d50e9db4bcd34a65f1a5a5581152dec705ea83e0ffc7a9ff6ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eb0e7f9e197b7947a26608f62bc838e8a04c260cb199520b1c16081388243f2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-09-15T15:54:33Z",
    "title_canon_sha256": "1b7330dc138abfb055018e1caf912562ef7890180ae5e18ec14c43533a5eda6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0309146",
    "kind": "arxiv",
    "version": 2
  }
}