Pith Number

pith:SE7YXKDA

pith:2014:SE7YXKDAQZ3QEIG5O723B2D3AE

not attested not anchored not stored refs pending

Virtual braids and virtual curve diagrams

Oleg Chterental

arxiv:1411.6313 v4 · 2014-11-23 · math.QA · 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{SE7YXKDAQZ3QEIG5O723B2D3AE}

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	2026-05-18T01:59:53.445588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

913f8ba86086770220dd77f5b0e87b01179f190d77fa051dc38b81d0e054bcc8

Aliases

arxiv: 1411.6313 · arxiv_version: 1411.6313v4 · doi: 10.48550/arxiv.1411.6313 · pith_short_12: SE7YXKDAQZ3Q · pith_short_16: SE7YXKDAQZ3QEIG5 · pith_short_8: SE7YXKDA

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/SE7YXKDAQZ3QEIG5O723B2D3AE \
  | 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: 913f8ba86086770220dd77f5b0e87b01179f190d77fa051dc38b81d0e054bcc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5215e1cb0016b0dacba082275474100c1ef4c00e12bdad2831192fda2cbf0c3f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-11-23T23:24:35Z",
    "title_canon_sha256": "70449d913fcbc22394298948f6bc5cd9d432128ba73e35a10a5beb65b83dbd87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6313",
    "kind": "arxiv",
    "version": 4
  }
}