Pith Number

pith:KRAKK3WZ

pith:2001:KRAKK3WZAADB32K4FDUJBH53XO

not attested not anchored not stored refs pending

M-theory compactified on Calabi-Yau fourfolds with background flux

Jan Louis, Michael Haack

arxiv:hep-th/0103068 v2 · 2001-03-09 · 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{KRAKK3WZAADB32K4FDUJBH53XO}

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.

Cited by

1 paper in Pith

F-theory flux vacua at large complex structure

Receipt and verification

First computed	2026-07-04T16:27:48.146156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5440a56ed900061de95c28e8909fbbbbbd4cce5d92dc23a5af94746d51e699c9

Aliases

arxiv: hep-th/0103068 · arxiv_version: hep-th/0103068v2 · doi: 10.48550/arxiv.hep-th/0103068 · pith_short_12: KRAKK3WZAADB · pith_short_16: KRAKK3WZAADB32K4 · pith_short_8: KRAKK3WZ

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/KRAKK3WZAADB32K4FDUJBH53XO \
  | 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: 5440a56ed900061de95c28e8909fbbbbbd4cce5d92dc23a5af94746d51e699c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6b737eefd326b5248cdfb73b8ca15c008c9e19bea00da677420c3ee339c0c36",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-03-09T19:42:17Z",
    "title_canon_sha256": "1d679da12138c6cbe4ed37f71fe4d35d760072ff0d9315dc77e258a54e52438a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0103068",
    "kind": "arxiv",
    "version": 2
  }
}