Pith Number

pith:ETG2KBE3

pith:2014:ETG2KBE3PPPMLMTWDBRJPOE54T

not attested not anchored not stored refs pending

Virtual braids from a topological viewpoint

Bruno Aaron Cisneros de La Cruz (IMB)

arxiv:1402.0300 v2 · 2014-02-03 · 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{ETG2KBE3PPPMLMTWDBRJPOE54T}

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	2026-05-17T23:49:44.643206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24cda5049b7bdec5b276186297b89de4c353b99cb6813b91f936e6743b0dd1cc

Aliases

arxiv: 1402.0300 · arxiv_version: 1402.0300v2 · doi: 10.48550/arxiv.1402.0300 · pith_short_12: ETG2KBE3PPPM · pith_short_16: ETG2KBE3PPPMLMTW · pith_short_8: ETG2KBE3

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/ETG2KBE3PPPMLMTWDBRJPOE54T \
  | 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: 24cda5049b7bdec5b276186297b89de4c353b99cb6813b91f936e6743b0dd1cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c664041b4ee5079d3bf7136fa964b6ce12e46b9ef926ecd999d5bb0fc786c2ec",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-02-03T07:52:05Z",
    "title_canon_sha256": "b0d35c50b94f5efc03dbd3afc637a8655d4a9d4189c08bff6122c74a99514a03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0300",
    "kind": "arxiv",
    "version": 2
  }
}