Pith Number

pith:272UGA7X

pith:2019:272UGA7XS4F72CQVX7W2P6DM2J

not attested not anchored not stored refs pending

Invariants of rational links represented by reduced alternating diagrams

Claus Ernst, Gabor Hetyei, Yuanan Diao

arxiv:1908.09458 v1 · 2019-08-26 · math.GN · 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{272UGA7XS4F72CQVX7W2P6DM2J}

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	2026-07-04T23:59:40.287823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7f54303f7970bfd0a15bfeda7f86cd27d9ec57115899c608b67d7f708a6260a

Aliases

arxiv: 1908.09458 · arxiv_version: 1908.09458v1 · doi: 10.48550/arxiv.1908.09458 · pith_short_12: 272UGA7XS4F7 · pith_short_16: 272UGA7XS4F72CQV · pith_short_8: 272UGA7X

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/272UGA7XS4F72CQVX7W2P6DM2J \
  | 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: d7f54303f7970bfd0a15bfeda7f86cd27d9ec57115899c608b67d7f708a6260a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02a71c7267170e27627ca7a8beb76b525f4d1662482fca1f843952daec4e2818",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-08-26T03:47:49Z",
    "title_canon_sha256": "44198d3a7498f0cffb82f4a198e62e292b10d58f62670694222cc5297db17dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09458",
    "kind": "arxiv",
    "version": 1
  }
}