Pith Number

pith:57RVBJAR

pith:2012:57RVBJARSMCQMJWB5IIS2TDJPM

not attested not anchored not stored refs pending

Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at t=-1

Andrew Putman, Dan Margalit, Tara Brendle

arxiv:1211.4018 v4 · 2012-11-16 · math.GT · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57RVBJARSMCQMJWB5IIS2TDJPM}

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	2026-05-18T01:35:52.495369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efe350a41193050626c1ea112d4c697b18f0c23f27829d38d84b1b330296da48

Aliases

arxiv: 1211.4018 · arxiv_version: 1211.4018v4 · doi: 10.48550/arxiv.1211.4018 · pith_short_12: 57RVBJARSMCQ · pith_short_16: 57RVBJARSMCQMJWB · pith_short_8: 57RVBJAR

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/57RVBJARSMCQMJWB5IIS2TDJPM \
  | 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: efe350a41193050626c1ea112d4c697b18f0c23f27829d38d84b1b330296da48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a46a1da271e7ae3872b98e3aa920e436a7a8e6f60876d2ef5143b623feb9a98a",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-16T20:45:07Z",
    "title_canon_sha256": "233f01000610b1dffff27a52c278451d4eb25cde3ee196dc40a95c193b1fd59f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4018",
    "kind": "arxiv",
    "version": 4
  }
}