Pith Number

pith:X7YH5N3X

pith:2017:X7YH5N3X2LMVIKDIW3GXIQC7BK

not attested not anchored not stored refs pending

Generating the Johnson filtration II: finite generation

Andrew Putman, Thomas Church

arxiv:1704.01529 v2 · 2017-04-05 · 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{X7YH5N3X2LMVIKDIW3GXIQC7BK}

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	2026-05-18T00:30:30.524923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bff07eb777d2d9542868b6cd74405f0ab0cd4ef38146ef9dda45cdfa0f856cc6

Aliases

arxiv: 1704.01529 · arxiv_version: 1704.01529v2 · doi: 10.48550/arxiv.1704.01529 · pith_short_12: X7YH5N3X2LMV · pith_short_16: X7YH5N3X2LMVIKDI · pith_short_8: X7YH5N3X

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/X7YH5N3X2LMVIKDIW3GXIQC7BK \
  | 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: bff07eb777d2d9542868b6cd74405f0ab0cd4ef38146ef9dda45cdfa0f856cc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8de61300af7405f184633f1591fb6709ac2e3ac97a55c81dc1985b0881e5718e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-04-05T17:08:47Z",
    "title_canon_sha256": "c21aed12954f8e976425a78646f7467ef59dce16ebe6fe41202a7adb8c10c467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01529",
    "kind": "arxiv",
    "version": 2
  }
}