Pith Number

pith:C4S4ON7R

pith:2016:C4S4ON7RR3TOHLB7ASXV4DE6NO

not attested not anchored not stored refs pending

From skein theory to presentations for Thompson group

Yunxiang Ren

arxiv:1609.04077 v2 · 2016-09-14 · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C4S4ON7RR3TOHLB7ASXV4DE6NO}

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	2026-05-18T01:03:40.387165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1725c737f18ee6e3ac3f04af5e0c9e6b9badf3371e0c21f1b682b7c915fc80dd

Aliases

arxiv: 1609.04077 · arxiv_version: 1609.04077v2 · doi: 10.48550/arxiv.1609.04077 · pith_short_12: C4S4ON7RR3TO · pith_short_16: C4S4ON7RR3TOHLB7 · pith_short_8: C4S4ON7R

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/C4S4ON7RR3TOHLB7ASXV4DE6NO \
  | 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: 1725c737f18ee6e3ac3f04af5e0c9e6b9badf3371e0c21f1b682b7c915fc80dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e3a879089d499882d0cadd6dd8d041ae9c797e0922a613f0cf26ad96087e1ea",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-09-14T00:24:30Z",
    "title_canon_sha256": "2c43a5a1e4a6e23b547f082703e9e466a9656ce0393a5d2a541206d4ac4a8d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04077",
    "kind": "arxiv",
    "version": 2
  }
}