Pith Number

pith:MVFWGHAX

pith:2011:MVFWGHAXICRQU7ZYME3VT6MDPH

not attested not anchored not stored refs pending

Evaluating Matrix Functions by Resummations on Graphs: the Method of Path-Sums

D. Jaksch, P.-L. Giscard, S. J. Thwaite

arxiv:1112.1588 v2 · 2011-12-07 · math.QA · math-ph · math.MP · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVFWGHAXICRQU7ZYME3VT6MDPH}

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	2026-05-18T03:25:04.371806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

654b631c1740a30a7f38613759f98379f9349215252de5dcedfd6c225e8692a7

Aliases

arxiv: 1112.1588 · arxiv_version: 1112.1588v2 · doi: 10.48550/arxiv.1112.1588 · pith_short_12: MVFWGHAXICRQ · pith_short_16: MVFWGHAXICRQU7ZY · pith_short_8: MVFWGHAX

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/MVFWGHAXICRQU7ZYME3VT6MDPH \
  | 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: 654b631c1740a30a7f38613759f98379f9349215252de5dcedfd6c225e8692a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d3351757bae5a2ff7194e56b02045d0e426e96b2feb0981a09b939d7c0fda0b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-12-07T15:04:34Z",
    "title_canon_sha256": "b4887a68b5021f64deeebe8980440f6959f8b8f8c499474a0623d11932e87a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1588",
    "kind": "arxiv",
    "version": 2
  }
}