Pith Number

pith:KHFN25AL

pith:2019:KHFN25ALLTAL3BHF2X5V2CU63A

not attested not anchored not stored refs pending

Partial Torelli groups and homological stability

Andrew Putman

arxiv:1901.06624 v4 · 2019-01-20 · math.GT · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHFN25ALLTAL3BHF2X5V2CU63A}

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	2026-07-05T07:12:31.364839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51cadd740b5cc0bd84e5d5fb5d0a9ed82f2c52ad99c38737ebf6e9699993ce99

Aliases

arxiv: 1901.06624 · arxiv_version: 1901.06624v4 · doi: 10.48550/arxiv.1901.06624 · pith_short_12: KHFN25ALLTAL · pith_short_16: KHFN25ALLTAL3BHF · pith_short_8: KHFN25AL

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/KHFN25ALLTAL3BHF2X5V2CU63A \
  | 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: 51cadd740b5cc0bd84e5d5fb5d0a9ed82f2c52ad99c38737ebf6e9699993ce99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e13acb5601b3137bb5ff91f6793cd81df0ddbaa12daad2a330ffbfd5d489a3df",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-01-20T04:46:39Z",
    "title_canon_sha256": "4dc7430b35209b5f3605349f6e0046086ba1c7616d61b893ceb1a377c85fc98b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06624",
    "kind": "arxiv",
    "version": 4
  }
}