Pith Number

pith:X6KJSOF2

pith:2014:X6KJSOF22CX774ACNMGXHYNTWD

not attested not anchored not stored refs pending

On geometric aspects of diffuse groups

Jean Raimbault, Nathan Dunfield, Steffen Kionke

arxiv:1411.6449 v2 · 2014-11-24 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6KJSOF22CX774ACNMGXHYNTWD}

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	2026-05-18T01:06:23.081425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf949938bad0affff0026b0d73e1b3b0ff891a136930abe14cbf2758e8365f12

Aliases

arxiv: 1411.6449 · arxiv_version: 1411.6449v2 · doi: 10.48550/arxiv.1411.6449 · pith_short_12: X6KJSOF22CX7 · pith_short_16: X6KJSOF22CX774AC · pith_short_8: X6KJSOF2

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/X6KJSOF22CX774ACNMGXHYNTWD \
  | 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: bf949938bad0affff0026b0d73e1b3b0ff891a136930abe14cbf2758e8365f12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5372b4119b913821c187095828eefa324898915ea34421918fd5537217292d9",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-24T13:32:43Z",
    "title_canon_sha256": "eb20b75bb2ec0e19f1941f55bb95890d0405f4f02c61ddb91162d5429f436f6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6449",
    "kind": "arxiv",
    "version": 2
  }
}