Pith Number

pith:UL4FRJFK

pith:2018:UL4FRJFKDYCUJFAUPAEFZPOPQV

not attested not anchored not stored refs pending

Discrete quotients of 3-dimensional N = 4 Coulomb branches via the cycle index

Amihay Hanany, Marcus Sperling

arxiv:1807.02784 v2 · 2018-07-08 · 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{UL4FRJFKDYCUJFAUPAEFZPOPQV}

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	2026-05-18T00:07:17.241881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2f858a4aa1e0544941478085cbdcf85491558b738955af76571bd856e079429

Aliases

arxiv: 1807.02784 · arxiv_version: 1807.02784v2 · doi: 10.48550/arxiv.1807.02784 · pith_short_12: UL4FRJFKDYCU · pith_short_16: UL4FRJFKDYCUJFAU · pith_short_8: UL4FRJFK

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/UL4FRJFKDYCUJFAUPAEFZPOPQV \
  | 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: a2f858a4aa1e0544941478085cbdcf85491558b738955af76571bd856e079429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99357c79fccd34ef5fc48c4430418475b6b0c48f068acfec7841c3cbb4897331",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-07-08T09:03:37Z",
    "title_canon_sha256": "38c309045efe7addb534243df60285fef03c0c3f8c5bc16c6fce804e6bf1e47b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02784",
    "kind": "arxiv",
    "version": 2
  }
}