Pith Number

pith:XB4KQC7H

pith:2011:XB4KQC7HISEV7YGXPXJMFQFX5N

not attested not anchored not stored refs pending

Rational tangle surgery and Xer recombination on catenanes

Isabel K. Darcy, Kai Ishihara, Koya Shimokawa, Ram K. Medikonduri

arxiv:1108.0724 v1 · 2011-08-03 · 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{XB4KQC7HISEV7YGXPXJMFQFX5N}

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	2026-05-18T01:22:28.932220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b878a80be744895fe0d77dd2c2c0b7eb69f02006a988981566466da83e932484

Aliases

arxiv: 1108.0724 · arxiv_version: 1108.0724v1 · doi: 10.48550/arxiv.1108.0724 · pith_short_12: XB4KQC7HISEV · pith_short_16: XB4KQC7HISEV7YGX · pith_short_8: XB4KQC7H

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/XB4KQC7HISEV7YGXPXJMFQFX5N \
  | 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: b878a80be744895fe0d77dd2c2c0b7eb69f02006a988981566466da83e932484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41eed9e7978f55589603f9443dc43fb86aeeffe7763de2389053093cedc34042",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-03T01:53:12Z",
    "title_canon_sha256": "a1b6e5b6970188ad7a802de837913186d05e863542d97018a453773383ff434b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0724",
    "kind": "arxiv",
    "version": 1
  }
}