pith. sign in
Pith Number

pith:4ICG3YWU

pith:2019:4ICG3YWUT6DCNQ7XW5KCWEELNU
not attested not anchored not stored refs pending

The knots that lie above all shadows

Carolina Medina, Gelasio Salazar

arxiv:1903.01971 v1 · 2019-03-05 · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4ICG3YWUT6DCNQ7XW5KCWEELNU}

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 2026-05-17T23:51:59.334003Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e2046de2d49f8626c3f7b7542b108b6d39b3ce6e08aa5fbd1719875d8ee83b95

Aliases

arxiv: 1903.01971 · arxiv_version: 1903.01971v1 · doi: 10.48550/arxiv.1903.01971 · pith_short_12: 4ICG3YWUT6DC · pith_short_16: 4ICG3YWUT6DCNQ7X · pith_short_8: 4ICG3YWU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4ICG3YWUT6DCNQ7XW5KCWEELNU \
  | 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: e2046de2d49f8626c3f7b7542b108b6d39b3ce6e08aa5fbd1719875d8ee83b95
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "79bb3ddb5aaae144411769311a433a9e78f9a587c4d7f3fc117d02fc7ee02e9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-03-05T18:34:34Z",
    "title_canon_sha256": "40702167954553a89775d8f60e635be55d534e7590a2f6e150b69f0c93543be1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01971",
    "kind": "arxiv",
    "version": 1
  }
}