Pith Number

pith:WAAFEB3X

pith:2003:WAAFEB3XEJVHTKGJFMNKVVG6QL

not attested not anchored not stored refs pending

Opers on the projective line, flag manifolds and Bethe Ansatz

Edward Frenkel

arxiv:math/0308269 v2 · 2003-08-28 · math.QA · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAAFEB3XEJVHTKGJFMNKVVG6QL}

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	2026-07-04T14:37:40.772056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b000520777226a79a8c92b1aaad4de82d9c47c798e6ad13047e596e4455a5e19

Aliases

arxiv: math/0308269 · arxiv_version: math/0308269v2 · doi: 10.48550/arxiv.math/0308269 · pith_short_12: WAAFEB3XEJVH · pith_short_16: WAAFEB3XEJVHTKGJ · pith_short_8: WAAFEB3X

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/WAAFEB3XEJVHTKGJFMNKVVG6QL \
  | 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: b000520777226a79a8c92b1aaad4de82d9c47c798e6ad13047e596e4455a5e19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8893debd127b7e71531572b12611531974b6f86c7c2ecb0c3c638382d1ea0613",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-08-28T01:18:39Z",
    "title_canon_sha256": "afe78f86f9740b9b8519496537fc2fc23fff70fd8a605c6923507fbda1da28a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0308269",
    "kind": "arxiv",
    "version": 2
  }
}