Pith Number

pith:VKAILLWP

pith:2014:VKAILLWPH3YFKQSLNHTPOYVECZ

not attested not anchored not stored refs pending

The braid group of a necklace

Arnaud Bodin, Paolo Bellingeri

arxiv:1404.2511 v4 · 2014-04-09 · 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{VKAILLWPH3YFKQSLNHTPOYVECZ}

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	2026-05-18T00:02:14.066332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa8085aecf3ef055424b69e6f762a4166a8cf8df99d07f6a879f6ab3daccb7b5

Aliases

arxiv: 1404.2511 · arxiv_version: 1404.2511v4 · doi: 10.48550/arxiv.1404.2511 · pith_short_12: VKAILLWPH3YF · pith_short_16: VKAILLWPH3YFKQSL · pith_short_8: VKAILLWP

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/VKAILLWPH3YFKQSLNHTPOYVECZ \
  | 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: aa8085aecf3ef055424b69e6f762a4166a8cf8df99d07f6a879f6ab3daccb7b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e9e60a65d096c2f3e517394fa541cc0484ae66ac2b56828b63d47d6ac7d24f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-04-09T15:02:46Z",
    "title_canon_sha256": "12c4b8b5d4c0803668e03ab9b09ad0733bff85adb62571eadcfb8a2a5b882247"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2511",
    "kind": "arxiv",
    "version": 4
  }
}