Pith Number

pith:2L56S65F

pith:2006:2L56S65F5Y5FX6ZY7WYMTYK5MC

not attested not anchored not stored refs pending

On $[A,A]/[A,[A,A]]$ and on a $W_n$-action on the consecutive commutators of free associative algebra

Boris Feigin, Boris Shoikhet

arxiv:math/0610410 v2 · 2006-10-12 · math.QA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2L56S65F5Y5FX6ZY7WYMTYK5MC}

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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	2026-07-04T14:57:08.272608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2fbe97ba5ee3a5bfb38fdb0c9e15d60886b758214ec0dce653fe2caa77bf8c9

Aliases

arxiv: math/0610410 · arxiv_version: math/0610410v2 · doi: 10.48550/arxiv.math/0610410 · pith_short_12: 2L56S65F5Y5F · pith_short_16: 2L56S65F5Y5FX6ZY · pith_short_8: 2L56S65F

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/2L56S65F5Y5FX6ZY7WYMTYK5MC \
  | 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: d2fbe97ba5ee3a5bfb38fdb0c9e15d60886b758214ec0dce653fe2caa77bf8c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca75cb55abfc53c55618947f2beba12097a93470eeb3308b200ff74dd5ce0fb1",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2006-10-12T16:23:47Z",
    "title_canon_sha256": "4a84dd8f67113209d9b52ee978795b0e59573f2e145f6f14a46910f7be696ed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610410",
    "kind": "arxiv",
    "version": 2
  }
}