Pith Number

pith:ENXQTPVK

pith:2012:ENXQTPVKC3BYVJGFLY5TRMK66I

not attested not anchored not stored refs pending

On Vassiliev invariants of braid groups of the sphere

N. Kaabi, V. V. Vershinin

arxiv:1202.3557 v1 · 2012-02-16 · 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{ENXQTPVKC3BYVJGFLY5TRMK66I}

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	2026-05-18T04:02:12.871952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

236f09beaa16c38aa4c55e3b38b15ef20a6c2d53bc52eebdee2e21a4fda9befd

Aliases

arxiv: 1202.3557 · arxiv_version: 1202.3557v1 · doi: 10.48550/arxiv.1202.3557 · pith_short_12: ENXQTPVKC3BY · pith_short_16: ENXQTPVKC3BYVJGF · pith_short_8: ENXQTPVK

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/ENXQTPVKC3BYVJGFLY5TRMK66I \
  | 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: 236f09beaa16c38aa4c55e3b38b15ef20a6c2d53bc52eebdee2e21a4fda9befd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cdec3796a4cd4a9b95d3c925569fd6338b1310cc637c6f079bd74f334612cb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-02-16T10:35:24Z",
    "title_canon_sha256": "91dd7d817aee46e9dd3c6c452ab763f44469af49e0a1d5b3c9f1c9ff8fd4c153"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3557",
    "kind": "arxiv",
    "version": 1
  }
}