Pith Number

pith:KU4ZQ7ZF

pith:2013:KU4ZQ7ZFIXG7K2LHRZUPBZLTAD

not attested not anchored not stored refs pending

Knotted and linked products of recombination on $T(2,n)\#T(2,m)$ substrates

Chen Sun, Erica Flapan, Helen Wong, Jeremy Grevet, Qi Li

arxiv:1311.5456 v1 · 2013-11-21 · 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{KU4ZQ7ZFIXG7K2LHRZUPBZLTAD}

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	2026-05-18T03:06:33.323511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5539987f2545cdf569678e68f0e57300cb757ffdb2ac1c851e13710287d2fb1f

Aliases

arxiv: 1311.5456 · arxiv_version: 1311.5456v1 · doi: 10.48550/arxiv.1311.5456 · pith_short_12: KU4ZQ7ZFIXG7 · pith_short_16: KU4ZQ7ZFIXG7K2LH · pith_short_8: KU4ZQ7ZF

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/KU4ZQ7ZFIXG7K2LHRZUPBZLTAD \
  | 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: 5539987f2545cdf569678e68f0e57300cb757ffdb2ac1c851e13710287d2fb1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d423fb36a99c24b137f9512a1cd57784a109502835e3f438652ddab116c79be9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-11-21T15:49:47Z",
    "title_canon_sha256": "da5137df25de5dcad1c520c0b022f2db688764ff33722dd8966006deac3a1cb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5456",
    "kind": "arxiv",
    "version": 1
  }
}