Pith Number

pith:NJSHA32I

pith:2006:NJSHA32IS46FDUQQQEL4F5Z6OJ

not attested not anchored not stored refs pending

Erratum to ``Stabilization for the automorphisms of free groups with boundaries''

Allen Hatcher, Nathalie Wahl

arxiv:math/0608333 v2 · 2006-08-14 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJSHA32IS46FDUQQQEL4F5Z6OJ}

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	2026-05-18T02:37:59.569005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a64706f48973c51d2108117c2f73e725881b51fb2edb57a3831bca530cc3407

Aliases

arxiv: math/0608333 · arxiv_version: math/0608333v2 · doi: 10.48550/arxiv.math/0608333 · pith_short_12: NJSHA32IS46F · pith_short_16: NJSHA32IS46FDUQQ · pith_short_8: NJSHA32I

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/NJSHA32IS46FDUQQQEL4F5Z6OJ \
  | 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: 6a64706f48973c51d2108117c2f73e725881b51fb2edb57a3831bca530cc3407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d756c3a15727705ee266620b75028d02b9a68391a1562fb65bf8a10117ebbcf7",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-08-14T12:26:54Z",
    "title_canon_sha256": "be242e8f5937b1a2fd0b2f27838f64b3a01a38f01a9a045ca8a921d7804339b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608333",
    "kind": "arxiv",
    "version": 2
  }
}