Pith Number

pith:OAX7OBWN

pith:2008:OAX7OBWNFPVH2ML3EF2IHVQCY5

not attested not anchored not stored refs pending

An Abundance of Heterotic Vacua

Andre Lukas, Maxime Gabella, Yang-Hui He

arxiv:0808.2142 v2 · 2008-08-15 · 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{OAX7OBWNFPVH2ML3EF2IHVQCY5}

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	2026-05-18T02:35:15.284882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

702ff706cd2bea7d317b217483d602c763878c4616194f06ea2cc3b08ee0991f

Aliases

arxiv: 0808.2142 · arxiv_version: 0808.2142v2 · doi: 10.48550/arxiv.0808.2142 · pith_short_12: OAX7OBWNFPVH · pith_short_16: OAX7OBWNFPVH2ML3 · pith_short_8: OAX7OBWN

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/OAX7OBWNFPVH2ML3EF2IHVQCY5 \
  | 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: 702ff706cd2bea7d317b217483d602c763878c4616194f06ea2cc3b08ee0991f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9f7d3dbd708e8ec85aa17d17741c5703077feb3d579c89315d2ca33abadd2b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-08-15T13:35:59Z",
    "title_canon_sha256": "de802dee32f662f200ec0f5c965ee70f81465bf80fadd49b3f0e3d4decd1e62b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2142",
    "kind": "arxiv",
    "version": 2
  }
}