Pith Number

pith:MD42YBWF

pith:2016:MD42YBWF2GIVHSLQB6W25GTQYA

not attested not anchored not stored refs pending

Spin Chains and Gustafson's Integrals

A.N. Manashov, S.E. Derkachov

arxiv:1611.09593 v2 · 2016-11-29 · math-ph · hep-th · 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{MD42YBWF2GIVHSLQB6W25GTQYA}

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	2026-05-18T00:39:01.009375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60f9ac06c5d19153c9700fadae9a70c007437499bbe79bd04637d73da66dd51a

Aliases

arxiv: 1611.09593 · arxiv_version: 1611.09593v2 · doi: 10.48550/arxiv.1611.09593 · pith_short_12: MD42YBWF2GIV · pith_short_16: MD42YBWF2GIVHSLQ · pith_short_8: MD42YBWF

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/MD42YBWF2GIVHSLQB6W25GTQYA \
  | 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: 60f9ac06c5d19153c9700fadae9a70c007437499bbe79bd04637d73da66dd51a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af8c49c5a09903072f60b239fe3ec770b160b526d9fbe3622c5c6a7c0ffc0e17",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-29T12:30:31Z",
    "title_canon_sha256": "b831285c86a4d39b1403d0a5cb445148f069869a7395d052e6746a6438ce979e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09593",
    "kind": "arxiv",
    "version": 2
  }
}