Pith Number

pith:JN4OSEUF

pith:2012:JN4OSEUF6UKUSMRTJPFTC3SMU7

not attested not anchored not stored refs pending

Linear representations of Aut(F_r) on the homology of representation varieties

Asaf Hadari, Yael Algom-Kfir

arxiv:1210.3370 v1 · 2012-10-11 · 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{JN4OSEUF6UKUSMRTJPFTC3SMU7}

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	2026-05-18T03:43:20.065126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b78e91285f5154932334bcb316e4ca7cd24eef51307e959c2e9ce65f84072de

Aliases

arxiv: 1210.3370 · arxiv_version: 1210.3370v1 · doi: 10.48550/arxiv.1210.3370 · pith_short_12: JN4OSEUF6UKU · pith_short_16: JN4OSEUF6UKUSMRT · pith_short_8: JN4OSEUF

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/JN4OSEUF6UKUSMRTJPFTC3SMU7 \
  | 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: 4b78e91285f5154932334bcb316e4ca7cd24eef51307e959c2e9ce65f84072de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f92aac7e6ce5aea8c3ab057207df6d87419ba3ea91fc7d76ed2bf0fbb6371f37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-10-11T20:34:03Z",
    "title_canon_sha256": "3f1583aa1b99eae05c1ac37158d6a67f4c2e85f835a3768e553be27255057419"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3370",
    "kind": "arxiv",
    "version": 1
  }
}