Pith Number

pith:T65EEOCZ

pith:2013:T65EEOCZZ4TPIM54KDAFLWFCWN

not attested not anchored not stored refs pending

Centralizers of the infinite symmetric group

Peter Herbrich, Zajj Daugherty

arxiv:1309.3510 v1 · 2013-09-13 · math.CO · 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{T65EEOCZZ4TPIM54KDAFLWFCWN}

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	2026-05-18T03:13:22.389953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fba423859cf26f433bc50c055d8a2b36b8a85a799088cd9738bb4874bd164bd

Aliases

arxiv: 1309.3510 · arxiv_version: 1309.3510v1 · doi: 10.48550/arxiv.1309.3510 · pith_short_12: T65EEOCZZ4TP · pith_short_16: T65EEOCZZ4TPIM54 · pith_short_8: T65EEOCZ

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/T65EEOCZZ4TPIM54KDAFLWFCWN \
  | 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: 9fba423859cf26f433bc50c055d8a2b36b8a85a799088cd9738bb4874bd164bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c95e6d9fc5a2dfa8393d8542221cadb24df5b539fa7d5f8ba7bf91cae685e64",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-13T17:04:09Z",
    "title_canon_sha256": "03f7a8f2aeb51c38e622139feab2464408eadbcbe40bb529eecdbea65fadf24b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3510",
    "kind": "arxiv",
    "version": 1
  }
}