Pith Number

pith:MI77KON2

pith:2016:MI77KON2CTXETIP4WEB5YSGEDU

not attested not anchored not stored refs pending

Loop Models and $K$-Theory

Paul Zinn-Justin

arxiv:1612.05361 v3 · 2016-12-16 · math.AG · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MI77KON2CTXETIP4WEB5YSGEDU}

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	2026-05-18T00:10:52.363498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

623ff539ba14ee49a1fcb103dc48c41d0844ceeba27da17b422ab99ec3455717

Aliases

arxiv: 1612.05361 · arxiv_version: 1612.05361v3 · doi: 10.48550/arxiv.1612.05361 · pith_short_12: MI77KON2CTXE · pith_short_16: MI77KON2CTXETIP4 · pith_short_8: MI77KON2

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/MI77KON2CTXETIP4WEB5YSGEDU \
  | 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: 623ff539ba14ee49a1fcb103dc48c41d0844ceeba27da17b422ab99ec3455717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8777d4a6e57446120878b8bc92083de840e2bba35acaa60203aa5ceb1ae01a16",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-16T04:20:23Z",
    "title_canon_sha256": "ed9876861cf7246a9b8884d1a312d92c7ba9364f5bc86ea2e25e9b9de76eb816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05361",
    "kind": "arxiv",
    "version": 3
  }
}