Pith Number

pith:KI4PG5TY

pith:2012:KI4PG5TYNEBYKO3MNJTOIN6UID

not attested not anchored not stored refs pending

Rational homological stability for groups of partially symmetric automorphisms of free groups

Matthew C. B. Zaremsky

arxiv:1203.4845 v4 · 2012-03-21 · 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{KI4PG5TYNEBYKO3MNJTOIN6UID}

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	2026-05-18T02:41:43.305815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5238f376786903853b6c6a66e437d440c276ee01243eb0625039c9b5ce455db7

Aliases

arxiv: 1203.4845 · arxiv_version: 1203.4845v4 · doi: 10.48550/arxiv.1203.4845 · pith_short_12: KI4PG5TYNEBY · pith_short_16: KI4PG5TYNEBYKO3M · pith_short_8: KI4PG5TY

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/KI4PG5TYNEBYKO3MNJTOIN6UID \
  | 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: 5238f376786903853b6c6a66e437d440c276ee01243eb0625039c9b5ce455db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d403d761f7cf0e8b07d34fa0aaaace6ab3219d87334c16de39f83cd762624ef4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-03-21T21:39:58Z",
    "title_canon_sha256": "e0bdee1bcebb0775cc26bcc21cb448049dd297edfd936976eb41e22d4967b5aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4845",
    "kind": "arxiv",
    "version": 4
  }
}