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Pith Number

pith:RELI7UGI

pith:2006:RELI7UGIKUITSPVDN5L5XWJPSX
not attested not anchored not stored refs pending

Langlands duality for Hitchin systems

Ron Donagi, Tony Pantev

arxiv:math/0604617 v3 · 2006-04-28 · math.AG · hep-th · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RELI7UGIKUITSPVDN5L5XWJPSX}

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 2026-05-18T04:05:47.779886Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

89168fd0c85511393ea36f57dbd92f95d065ef82d46f1dd27e1eff3bc972255c

Aliases

arxiv: math/0604617 · arxiv_version: math/0604617v3 · doi: 10.48550/arxiv.math/0604617 · pith_short_12: RELI7UGIKUIT · pith_short_16: RELI7UGIKUITSPVD · pith_short_8: RELI7UGI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RELI7UGIKUITSPVDN5L5XWJPSX \
  | 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: 89168fd0c85511393ea36f57dbd92f95d065ef82d46f1dd27e1eff3bc972255c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7790dbd157bb0fa5a1146ea5363d8c0cdf16b99aac3e455e60e28bbc21593991",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2006-04-28T05:00:40Z",
    "title_canon_sha256": "3691650c89b10018b79af7b3c5fecccaaa3b5e4f75b8a3479e18d6148f15b714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604617",
    "kind": "arxiv",
    "version": 3
  }
}