Pith Number

pith:WMGSCN3A

pith:2010:WMGSCN3AZYXFMT4VNGBUX2K2OT

not attested not anchored not stored refs pending

An Exceptional Sector for F-theory GUTs

Cumrun Vafa, Jonathan J. Heckman

arxiv:1006.5459 v2 · 2010-06-28 · 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{WMGSCN3AZYXFMT4VNGBUX2K2OT}

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

The Dark Photon

Receipt and verification

First computed	2026-05-18T04:30:26.195441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b30d213760ce2e564f9569834be95a74f969e416856b96979e4cf619ae8e0061

Aliases

arxiv: 1006.5459 · arxiv_version: 1006.5459v2 · doi: 10.48550/arxiv.1006.5459 · pith_short_12: WMGSCN3AZYXF · pith_short_16: WMGSCN3AZYXFMT4V · pith_short_8: WMGSCN3A

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/WMGSCN3AZYXFMT4VNGBUX2K2OT \
  | 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: b30d213760ce2e564f9569834be95a74f969e416856b96979e4cf619ae8e0061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c993187430fc9f8161592b8ba2acddcd7ce6cc34f14c55e6bf85431c1d8ba277",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-06-28T20:07:14Z",
    "title_canon_sha256": "d7cffce5c3f33dd9352162236ded3dfef51ee27a7e8ca734e9d836b69edfcf8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5459",
    "kind": "arxiv",
    "version": 2
  }
}