Pith Number

pith:SU5DIESS

pith:2017:SU5DIESSEJD7XKOBURCGYARYHK

not attested not anchored not stored refs pending

Cocycles of nilpotent quotients of free groups

Takefumi Nosaka

arxiv:1706.01189 v2 · 2017-06-05 · 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{SU5DIESSEJD7XKOBURCGYARYHK}

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	2026-05-18T00:09:36.611884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

953a3412522247fba9c1a4446c02383ab554253ae15c423e9e4c631b77d86043

Aliases

arxiv: 1706.01189 · arxiv_version: 1706.01189v2 · doi: 10.48550/arxiv.1706.01189 · pith_short_12: SU5DIESSEJD7 · pith_short_16: SU5DIESSEJD7XKOB · pith_short_8: SU5DIESS

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/SU5DIESSEJD7XKOBURCGYARYHK \
  | 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: 953a3412522247fba9c1a4446c02383ab554253ae15c423e9e4c631b77d86043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5272f50e864976af32f91ff326707d6c651c8718d22f700fd34555a26ba520ac",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-06-05T04:36:28Z",
    "title_canon_sha256": "1ebafaff011a1e38eaeceb97ce1c276e1f11e08076e6f00204d2161fc4920fd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01189",
    "kind": "arxiv",
    "version": 2
  }
}