Pith Number

pith:7AA6TESI

pith:2005:7AA6TESILOM7Z7L2NUPP35XN2P

not attested not anchored not stored refs pending

Cohomological Aspects of Magnus Expansions

Nariya Kawazumi

arxiv:math/0505497 v3 · 2005-05-24 · math.GT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7AA6TESILOM7Z7L2NUPP35XN2P}

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.

Cited by

1 paper in Pith

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups

Receipt and verification

First computed	2026-07-04T14:50:13.872518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f801e992485b99fcfd7a6d1efdf6edd3e7db65656f3333b16df9c8e011fb0ce7

Aliases

arxiv: math/0505497 · arxiv_version: math/0505497v3 · doi: 10.48550/arxiv.math/0505497 · pith_short_12: 7AA6TESILOM7 · pith_short_16: 7AA6TESILOM7Z7L2 · pith_short_8: 7AA6TESI

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/7AA6TESILOM7Z7L2NUPP35XN2P \
  | 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: f801e992485b99fcfd7a6d1efdf6edd3e7db65656f3333b16df9c8e011fb0ce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e40579c5bec90fa57ce65c7c1954c3fc2c5b47c31a2f21470bede7309afbabe9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-05-24T11:38:25Z",
    "title_canon_sha256": "10d789c24fd0eaabe924be8af1bc67de54ab7a83400abdfd944c6b40c9383d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505497",
    "kind": "arxiv",
    "version": 3
  }
}