Pith Number

pith:O4Y3GA5Y

pith:2016:O4Y3GA5YY3EOPUEE3JZKRWLD4M

not attested not anchored not stored refs pending

Dimension invariants of outer automorphism groups

Dieter Degrijse, Juan Souto

arxiv:1602.04354 v1 · 2016-02-13 · math.GR · math.AT · 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{O4Y3GA5YY3EOPUEE3JZKRWLD4M}

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	2026-05-18T01:20:51.132281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7731b303b8c6c8e7d084da72a8d963e311b41ace159393a023ab010216d53a74

Aliases

arxiv: 1602.04354 · arxiv_version: 1602.04354v1 · doi: 10.48550/arxiv.1602.04354 · pith_short_12: O4Y3GA5YY3EO · pith_short_16: O4Y3GA5YY3EOPUEE · pith_short_8: O4Y3GA5Y

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/O4Y3GA5YY3EOPUEE3JZKRWLD4M \
  | 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: 7731b303b8c6c8e7d084da72a8d963e311b41ace159393a023ab010216d53a74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "183949e9a957dc699158e525900dc096026345f98f44b6e03f6529f9fe51d6f1",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-02-13T16:53:57Z",
    "title_canon_sha256": "587673756c2bb9b6483cf72ba3fa547d6fc92c78f8a861e9c25d5d5d6cf920ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04354",
    "kind": "arxiv",
    "version": 1
  }
}