Pith Number

pith:GHPF656T

pith:2014:GHPF656TSWV7J2GMV5LD5KUN32

not attested not anchored not stored refs pending

Two mod-p Johnson filtrations

James Cooper

arxiv:1402.4186 v3 · 2014-02-18 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHPF656TSWV7J2GMV5LD5KUN32}

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	2026-05-18T02:57:16.397535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31de5f77d395abf4e8ccaf563eaa8dde8e546615aa417d2da491d876d7c0fdce

Aliases

arxiv: 1402.4186 · arxiv_version: 1402.4186v3 · doi: 10.48550/arxiv.1402.4186 · pith_short_12: GHPF656TSWV7 · pith_short_16: GHPF656TSWV7J2GM · pith_short_8: GHPF656T

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/GHPF656TSWV7J2GMV5LD5KUN32 \
  | 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: 31de5f77d395abf4e8ccaf563eaa8dde8e546615aa417d2da491d876d7c0fdce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87affcf4c5d0fceb6cd79188f91488f73f2fcbb6c955190cbe0dcd2570d927b9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-02-18T00:07:37Z",
    "title_canon_sha256": "304e11404b11407880bbc197d9bc0f1c7656e0abb0695f783f4d6eea13c4da72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4186",
    "kind": "arxiv",
    "version": 3
  }
}