Pith Number

pith:EMJ4TB6R

pith:2016:EMJ4TB6RHKYOS6GTWQJ7TAL4DQ

not attested not anchored not stored refs pending

Representations of virtual braids by automorphisms and virtual knot groups

M. V. Neshchadim, V. G. Bardakov, Yu. A. Mikhalchishina

arxiv:1603.01425 v1 · 2016-03-04 · math.AT · 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{EMJ4TB6RHKYOS6GTWQJ7TAL4DQ}

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	2026-05-18T01:19:36.055998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2313c987d13ab0e978d3b413f9817c1c1ba7683bf3da7592bfd119581bcb1313

Aliases

arxiv: 1603.01425 · arxiv_version: 1603.01425v1 · doi: 10.48550/arxiv.1603.01425 · pith_short_12: EMJ4TB6RHKYO · pith_short_16: EMJ4TB6RHKYOS6GT · pith_short_8: EMJ4TB6R

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/EMJ4TB6RHKYOS6GTWQJ7TAL4DQ \
  | 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: 2313c987d13ab0e978d3b413f9817c1c1ba7683bf3da7592bfd119581bcb1313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d73883d49b2f69becc4f7547fa8fa64f675154c2ff22b669fad77ad80b05598e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-03-04T11:30:57Z",
    "title_canon_sha256": "c231431fbb6f0790a3c9815f7393c145c492caa95f94bceb32b711fe40163046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01425",
    "kind": "arxiv",
    "version": 1
  }
}