Pith Number

pith:SUX7RQR6

pith:1998:SUX7RQR6SOACYNSQT54W7YWXPL

not attested not anchored not stored refs pending

On the representations of the infinite symmetric group

Andrei Okounkov

arxiv:math/9803037 v1 · 1998-03-11 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SUX7RQR6SOACYNSQT54W7YWXPL}

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	2026-07-04T14:40:28.452530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

952ff8c23e93802c36509f796fe2d77addea23cf34fd373cd70c01a3f0421dd9

Aliases

arxiv: math/9803037 · arxiv_version: math/9803037v1 · doi: 10.48550/arxiv.math/9803037 · pith_short_12: SUX7RQR6SOAC · pith_short_16: SUX7RQR6SOACYNSQ · pith_short_8: SUX7RQR6

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/SUX7RQR6SOACYNSQT54W7YWXPL \
  | 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: 952ff8c23e93802c36509f796fe2d77addea23cf34fd373cd70c01a3f0421dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b148263cc1b275f7ab91c9c612c944d40fdc9cd7523f5d0d7e54c8f8169f5702",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "1998-03-11T03:00:30Z",
    "title_canon_sha256": "bcf4093ba373202fefa1bfeb31fcf6b5da89c526ed728435728d52996b0716fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9803037",
    "kind": "arxiv",
    "version": 1
  }
}