Pith Number

pith:2E6TKR3S

pith:2001:2E6TKR3SYX6MN3ZXGZRP3UAEYR

not attested not anchored not stored refs pending

Fredholm determinants, Jimbo-Miwa-Ueno tau-functions, and representation theory

Alexei Borodin, Percy Deift

arxiv:math-ph/0111007 v1 · 2001-11-05 · math-ph · math.CA · math.MP · 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{2E6TKR3SYX6MN3ZXGZRP3UAEYR}

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	2026-07-04T14:33:40.675576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d13d354772c5fcc6ef373662fdd004c46fcd09a6a5242259d38aa636278bf808

Aliases

arxiv: math-ph/0111007 · arxiv_version: math-ph/0111007v1 · doi: 10.48550/arxiv.math-ph/0111007 · pith_short_12: 2E6TKR3SYX6M · pith_short_16: 2E6TKR3SYX6MN3ZX · pith_short_8: 2E6TKR3S

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/2E6TKR3SYX6MN3ZXGZRP3UAEYR \
  | 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: d13d354772c5fcc6ef373662fdd004c46fcd09a6a5242259d38aa636278bf808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03726a3c856b61599aefaeca3f18027f66f3f7bd9d76bcdcebc844dd853fe323",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-11-05T19:26:55Z",
    "title_canon_sha256": "b7dc3b5a242ff7e05bb4ab5040c9b2111824324b3f6dc9da67dda6275470fa2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0111007",
    "kind": "arxiv",
    "version": 1
  }
}