Pith Number

pith:3U2GEVJI

pith:2013:3U2GEVJI5PBOYEC3OIKCIJC2IL

not attested not anchored not stored refs pending

Phases, Flops and F-theory: SU(5) Gauge Theories

Craig Lawrie, Hirotaka Hayashi, Sakura Schafer-Nameki

arxiv:1304.1678 v2 · 2013-04-05 · 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{3U2GEVJI5PBOYEC3OIKCIJC2IL}

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	2026-05-18T01:50:42.499026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd34625528ebc2ec105b721424245a42eaa9ebe66e5226791850a7a9c0e8eed3

Aliases

arxiv: 1304.1678 · arxiv_version: 1304.1678v2 · doi: 10.48550/arxiv.1304.1678 · pith_short_12: 3U2GEVJI5PBO · pith_short_16: 3U2GEVJI5PBOYEC3 · pith_short_8: 3U2GEVJI

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/3U2GEVJI5PBOYEC3OIKCIJC2IL \
  | 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: dd34625528ebc2ec105b721424245a42eaa9ebe66e5226791850a7a9c0e8eed3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95eeb0dab729a4a49d4a00707506a2105c61a58ce38f69890bb5872a77819613",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-04-05T11:05:44Z",
    "title_canon_sha256": "6c843f24e08419e6bea489311750d2b7eba814e46f3da61862d359e409983a69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1678",
    "kind": "arxiv",
    "version": 2
  }
}