Pith Number

pith:JWDB4EPH

pith:2010:JWDB4EPH6GBTKPJBRAZ3FEX7TS

not attested not anchored not stored refs pending

The complex of partial bases for F_n and finite generation of the Torelli subgroup of Aut(F_n)

Andrew Putman, Matthew B. Day

arxiv:1012.1914 v2 · 2010-12-09 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWDB4EPH6GBTKPJBRAZ3FEX7TS}

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	2026-07-05T01:08:08.291774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d861e11e7f183353d218833b292ff9cb13ea8797f084a86d7b199969d290b8b

Aliases

arxiv: 1012.1914 · arxiv_version: 1012.1914v2 · doi: 10.48550/arxiv.1012.1914 · pith_short_12: JWDB4EPH6GBT · pith_short_16: JWDB4EPH6GBTKPJB · pith_short_8: JWDB4EPH

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/JWDB4EPH6GBTKPJBRAZ3FEX7TS \
  | 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: 4d861e11e7f183353d218833b292ff9cb13ea8797f084a86d7b199969d290b8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce7c7c22cabf3de83549d913acb981557687d3efd82992d8ceb37144209b5188",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-12-09T03:00:55Z",
    "title_canon_sha256": "29064219689ecd7debda402f82824774dba6df5b5c412846523a616cec1f6217"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1914",
    "kind": "arxiv",
    "version": 2
  }
}