Pith Number

pith:TCYLKJTO

pith:2008:TCYLKJTOWAPIE2WLCU2EY6GK74

not attested not anchored not stored refs pending

Grand Unification in the Heterotic Brane World

Patrick K.S. Vaudrevange

arxiv:0812.3503 v1 · 2008-12-18 · 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{TCYLKJTOWAPIE2WLCU2EY6GK74}

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

Flavor Symmetries and Winding Modes

Receipt and verification

First computed	2026-07-04T15:34:55.860863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98b0b5266eb01e826acb15344c78caff2121f5e6ad2f8eea8980280d5bf390d6

Aliases

arxiv: 0812.3503 · arxiv_version: 0812.3503v1 · doi: 10.48550/arxiv.0812.3503 · pith_short_12: TCYLKJTOWAPI · pith_short_16: TCYLKJTOWAPIE2WL · pith_short_8: TCYLKJTO

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/TCYLKJTOWAPIE2WLCU2EY6GK74 \
  | 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: 98b0b5266eb01e826acb15344c78caff2121f5e6ad2f8eea8980280d5bf390d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f5a309aad13d1847ea2d1cb04f939b11b124a8fdb0d545fb1cb1cd696cd040e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-12-18T17:13:20Z",
    "title_canon_sha256": "735c5f1318b741c03ce54b63f7857fc04d86d51030124bc71434a02adc4ec815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3503",
    "kind": "arxiv",
    "version": 1
  }
}