Pith Number

pith:V4PULUCN

pith:2012:V4PULUCNLYOEYEUP5UVWUQJ3DE

not attested not anchored not stored refs pending

Noncommutative calculus and operads

Boris Tsygan

arxiv:1210.5249 v1 · 2012-10-18 · 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{V4PULUCNLYOEYEUP5UVWUQJ3DE}

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	2026-05-18T03:42:45.706791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af1f45d04d5e1c4c128fed2b6a413b19220c3b59bd0f8f2a6eaf114a7f0f9094

Aliases

arxiv: 1210.5249 · arxiv_version: 1210.5249v1 · doi: 10.48550/arxiv.1210.5249 · pith_short_12: V4PULUCNLYOE · pith_short_16: V4PULUCNLYOEYEUP · pith_short_8: V4PULUCN

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/V4PULUCNLYOEYEUP5UVWUQJ3DE \
  | 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: af1f45d04d5e1c4c128fed2b6a413b19220c3b59bd0f8f2a6eaf114a7f0f9094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce566e681606bcac9677d0c6b33b5562d603ece667751224e3c19fe837763bdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-10-18T20:03:30Z",
    "title_canon_sha256": "3d8d98ce708111e98462e84bf3420c91ca1d4b7585ee45a6f427e23d98ec2427"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5249",
    "kind": "arxiv",
    "version": 1
  }
}