Pith Number

pith:MUFJ5Q5T

pith:2016:MUFJ5Q5TRM6MGLUK3S52OWO3XJ

not attested not anchored not stored refs pending

A Khovanov stable homotopy type for colored links

Andrew Lobb, Dirk Schuetz, Patrick Orson

arxiv:1602.01386 v1 · 2016-02-03 · math.GT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUFJ5Q5TRM6MGLUK3S52OWO3XJ}

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	2026-05-18T00:48:10.372488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

650a9ec3b38b3cc32e8adcbba759dbba542896f8312c187829702c782df087a2

Aliases

arxiv: 1602.01386 · arxiv_version: 1602.01386v1 · doi: 10.48550/arxiv.1602.01386 · pith_short_12: MUFJ5Q5TRM6M · pith_short_16: MUFJ5Q5TRM6MGLUK · pith_short_8: MUFJ5Q5T

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/MUFJ5Q5TRM6MGLUK3S52OWO3XJ \
  | 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: 650a9ec3b38b3cc32e8adcbba759dbba542896f8312c187829702c782df087a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "388ecc0c2e98107b88da563e6b738a7d66e4aace62c4d7598ccbd90e107fcdd0",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-02-03T17:39:03Z",
    "title_canon_sha256": "030a4bb812c57c203165ef8767d2a90b4678727d5c7686b1877bbb3fe32b09d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01386",
    "kind": "arxiv",
    "version": 1
  }
}