Pith Number

pith:WB5KQMYW

pith:2021:WB5KQMYWBN5BOKQUMOIJEWPEDZ

not attested not anchored not stored refs pending

Enhanced mirror symmetry for Langlands dual Hitchin systems

Tam\'as Hausel

arxiv:2112.09455 v2 · 2021-12-17 · math.AG · hep-th · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WB5KQMYWBN5BOKQUMOIJEWPEDZ}

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	2026-07-05T03:43:06.833111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07aa833160b7a172a1463909259e41e615799c451d9a309e9c9077e2cc97c3e

Aliases

arxiv: 2112.09455 · arxiv_version: 2112.09455v2 · doi: 10.48550/arxiv.2112.09455 · pith_short_12: WB5KQMYWBN5B · pith_short_16: WB5KQMYWBN5BOKQU · pith_short_8: WB5KQMYW

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/WB5KQMYWBN5BOKQUMOIJEWPEDZ \
  | 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: b07aa833160b7a172a1463909259e41e615799c451d9a309e9c9077e2cc97c3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78d04d12663c0cb78020160f5fc3fcfc616b6ab8a21372f2420f224e3111e3e0",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-12-17T11:51:43Z",
    "title_canon_sha256": "02e75847944141477f49e4c25c162c154215937dc927e9986d8d7ab02bf847ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09455",
    "kind": "arxiv",
    "version": 2
  }
}