Pith Number

pith:T5YSXEHR

pith:2014:T5YSXEHRAR42GW6FVSTPJARAJU

not attested not anchored not stored refs pending

On the second homology group of the Torelli subgroup of Aut(F_n)

Andrew Putman, Matthew B. Day

arxiv:1408.6242 v3 · 2014-08-26 · 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{T5YSXEHRAR42GW6FVSTPJARAJU}

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	2026-05-18T00:21:00.825974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f712b90f10479a35bc5aca6f482204d17a4f22d21f762c0995e5f8c02baba48

Aliases

arxiv: 1408.6242 · arxiv_version: 1408.6242v3 · doi: 10.48550/arxiv.1408.6242 · pith_short_12: T5YSXEHRAR42 · pith_short_16: T5YSXEHRAR42GW6F · pith_short_8: T5YSXEHR

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/T5YSXEHRAR42GW6FVSTPJARAJU \
  | 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: 9f712b90f10479a35bc5aca6f482204d17a4f22d21f762c0995e5f8c02baba48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1c7d3e2b36c6a8e192ec13d545ef3a7b847ecd06b395c2ef21fd3a2e74d44d7",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-08-26T20:08:22Z",
    "title_canon_sha256": "08449c28dc8c25c10b0b3e26e4b8bd5522169ef1fd6237a7e4d5bd4eee1de35f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6242",
    "kind": "arxiv",
    "version": 3
  }
}