Pith Number

pith:R7H36CEA

pith:2012:R7H36CEAZWIXFHYEWGGLJ6XYLI

not attested not anchored not stored refs pending

Higher generation for pure braid groups

Matthew C. B. Zaremsky

arxiv:1212.1278 v2 · 2012-12-06 · 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{R7H36CEAZWIXFHYEWGGLJ6XYLI}

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	2026-05-18T02:56:19.306089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fcfbf0880cd91729f04b18cb4faf85a27ef82d4eda3b3e6798ca998e1a7866e

Aliases

arxiv: 1212.1278 · arxiv_version: 1212.1278v2 · doi: 10.48550/arxiv.1212.1278 · pith_short_12: R7H36CEAZWIX · pith_short_16: R7H36CEAZWIXFHYE · pith_short_8: R7H36CEA

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/R7H36CEAZWIXFHYEWGGLJ6XYLI \
  | 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: 8fcfbf0880cd91729f04b18cb4faf85a27ef82d4eda3b3e6798ca998e1a7866e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4e4e57ba535e5c284d312e387ed1ae5e3cbf82bcd14c2c3c6484043277821bd",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-12-06T10:29:09Z",
    "title_canon_sha256": "9b0018847b0789ebbfa3614af4febd4292537404edad0e3f39aeb25ce13bebea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1278",
    "kind": "arxiv",
    "version": 2
  }
}