Pith Number

pith:EJEAQRJO

pith:2017:EJEAQRJO4ST4VZDGRHLMVT3YYQ

not attested not anchored not stored refs pending

Homological vanishing for the Steinberg representation

Andrew Putman, Avner Ash, Steven V Sam

arxiv:1704.08344 v3 · 2017-04-26 · math.AT · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJEAQRJO4ST4VZDGRHLMVT3YYQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:53:33.951296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

224808452ee4a7cae46689d6cacf78c4339ce2af6666c4291f0e77be56c838ce

Aliases

arxiv: 1704.08344 · arxiv_version: 1704.08344v3 · doi: 10.48550/arxiv.1704.08344 · pith_short_12: EJEAQRJO4ST4 · pith_short_16: EJEAQRJO4ST4VZDG · pith_short_8: EJEAQRJO

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/EJEAQRJO4ST4VZDGRHLMVT3YYQ \
  | 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: 224808452ee4a7cae46689d6cacf78c4339ce2af6666c4291f0e77be56c838ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc7fe9b108467fcb2fc8001f8244ad9f35ec261feaf6deffbd85d642f961b73",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-04-26T20:43:05Z",
    "title_canon_sha256": "31cdabd7d45d5f53ce371d201f322f3c8916a5da337015ff7cdbf40a54fe9e70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08344",
    "kind": "arxiv",
    "version": 3
  }
}