Pith Number

pith:VYECVMGT

pith:2011:VYECVMGTWEC3S2SGA2QTRXZOTC

not attested not anchored not stored refs pending

The abelianization of the Johnson kernel

Alexandru Dimca, Richard Hain, Stefan Papadima

arxiv:1101.1392 v2 · 2011-01-07 · math.GR · 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{VYECVMGTWEC3S2SGA2QTRXZOTC}

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	2026-05-18T00:50:12.700394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae082ab0d3b105b96a4606a138df2e9881d076d21ff85887956a2053e7705295

Aliases

arxiv: 1101.1392 · arxiv_version: 1101.1392v2 · doi: 10.48550/arxiv.1101.1392 · pith_short_12: VYECVMGTWEC3 · pith_short_16: VYECVMGTWEC3S2SG · pith_short_8: VYECVMGT

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/VYECVMGTWEC3S2SGA2QTRXZOTC \
  | 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: ae082ab0d3b105b96a4606a138df2e9881d076d21ff85887956a2053e7705295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d85cb1315ea72802920516f7122f364bb8d6c6c7bfd25c8367a8702cd959e39",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-01-07T09:47:23Z",
    "title_canon_sha256": "e58f7852a9dd0d7f372cb7e00b56197c46a2300b59f989426ce16e9456ff2969"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1392",
    "kind": "arxiv",
    "version": 2
  }
}