Pith Number

pith:7C6RODSQ

pith:2015:7C6RODSQRSP3Q2C3ZFMTMH274K

not attested not anchored not stored refs pending

An elementary proof that classical braids embed into virtual braids

Vassily Olegovich Manturov

arxiv:1504.03127 v2 · 2015-04-13 · 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{7C6RODSQRSP3Q2C3ZFMTMH274K}

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	2026-05-18T01:29:38.294770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8bd170e508c9fb8685bc959361f5fe28a5afc744fcc690f05ba6d62fa2a21ff

Aliases

arxiv: 1504.03127 · arxiv_version: 1504.03127v2 · doi: 10.48550/arxiv.1504.03127 · pith_short_12: 7C6RODSQRSP3 · pith_short_16: 7C6RODSQRSP3Q2C3 · pith_short_8: 7C6RODSQ

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/7C6RODSQRSP3Q2C3ZFMTMH274K \
  | 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: f8bd170e508c9fb8685bc959361f5fe28a5afc744fcc690f05ba6d62fa2a21ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6750b1146543695c69069e91299f5f2299bf6aff8a15049327d8cfccad915b56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-04-13T11:06:42Z",
    "title_canon_sha256": "615282cd5713059665daaac33f880693000eb89a47fb923d4882ce18cd892a8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03127",
    "kind": "arxiv",
    "version": 2
  }
}