Pith Number

pith:FTX4F6TW

pith:2024:FTX4F6TWI2ULABCLI7GKM32HWB

not attested not anchored not stored refs pending

Zeros of $S$-characters

Gunter Malle, Michael Joswig, Thomas Breuer

arxiv:2408.16785 v3 · 2024-08-22 · math.GR · 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{FTX4F6TWI2ULABCLI7GKM32HWB}

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	2026-05-20T00:00:15.885301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cefc2fa7646a8b0044b47cca66f47b045731191e29806f68273a49dfe09f835

Aliases

arxiv: 2408.16785 · arxiv_version: 2408.16785v3 · doi: 10.48550/arxiv.2408.16785 · pith_short_12: FTX4F6TWI2UL · pith_short_16: FTX4F6TWI2ULABCL · pith_short_8: FTX4F6TW

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/FTX4F6TWI2ULABCLI7GKM32HWB \
  | 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: 2cefc2fa7646a8b0044b47cca66f47b045731191e29806f68273a49dfe09f835

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6777eefa50f9942ff2a1397b44c946bd159778981b7e0ed60fa9a3c0d016e913",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-08-22T08:24:50Z",
    "title_canon_sha256": "b26af0e5b73e1a67fef4afdb432468317e680fc729959dbe8bdc88dde62e1ba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.16785",
    "kind": "arxiv",
    "version": 3
  }
}