Pith Number

pith:UEGRNC7R

pith:2019:UEGRNC7RQ64LPCSV4HD25GQLR4

not attested not anchored not stored refs pending

Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves

Amrendra Gill, Andrei Vesnin, Madeti Prabhakar

arxiv:1908.05382 v1 · 2019-08-15 · 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{UEGRNC7RQ64LPCSV4HD25GQLR4}

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	2026-07-05T01:49:35.064388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a10d168bf187b8b78a55e1c7ae9a0b8f2f32de98f60b02b63e9617b3928cd62f

Aliases

arxiv: 1908.05382 · arxiv_version: 1908.05382v1 · doi: 10.48550/arxiv.1908.05382 · pith_short_12: UEGRNC7RQ64L · pith_short_16: UEGRNC7RQ64LPCSV · pith_short_8: UEGRNC7R

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/UEGRNC7RQ64LPCSV4HD25GQLR4 \
  | 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: a10d168bf187b8b78a55e1c7ae9a0b8f2f32de98f60b02b63e9617b3928cd62f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0878898905c2f65df073546be2b8aaa00d3cc18d32da6f8756c3058ec4548e62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-15T00:50:03Z",
    "title_canon_sha256": "d9aac08bf65b5772353028f5a77b8794f7c21d59803501afde6dd077599156d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05382",
    "kind": "arxiv",
    "version": 1
  }
}