Pith Number

pith:TCYTO6XH

pith:2006:TCYTO6XHNCCQM4DQDPI7ZSXJ5N

not attested not anchored not stored refs pending

Massless Spectra of Three Generation U(N) Heterotic String Vacua

Ralph Blumenhagen, Rene Reinbacher, Sebastian Moster, Timo Weigand

arxiv:hep-th/0612039 v1 · 2006-12-05 · 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{TCYTO6XHNCCQM4DQDPI7ZSXJ5N}

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	2026-05-18T04:38:25.637596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98b1377ae768850670701bd1fccae9eb72d8f7bb1d85d32638dd6003a40d89df

Aliases

arxiv: hep-th/0612039 · arxiv_version: hep-th/0612039v1 · doi: 10.48550/arxiv.hep-th/0612039 · pith_short_12: TCYTO6XHNCCQ · pith_short_16: TCYTO6XHNCCQM4DQ · pith_short_8: TCYTO6XH

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/TCYTO6XHNCCQM4DQDPI7ZSXJ5N \
  | 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: 98b1377ae768850670701bd1fccae9eb72d8f7bb1d85d32638dd6003a40d89df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41048e97a02654cb020d8dc2c3be45e1caf17099a6d0e19a11b40a21257c6d66",
    "cross_cats_sorted": [
      "hep-ph",
      "math.AG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-12-05T23:25:22Z",
    "title_canon_sha256": "a195ce9f81c74979a7ffd7a662aa6bb515cd1a6ea9f350833fe996ea1a579306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0612039",
    "kind": "arxiv",
    "version": 1
  }
}