Pith Number

pith:MC2KPQ25

pith:2015:MC2KPQ25NIB4QAQPBUUNEIHFDA

not attested not anchored not stored refs pending

Isospectral Deformations in QFT: The Massive case

Albert Much

arxiv:1503.08232 v1 · 2015-03-27 · math-ph · 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{MC2KPQ25NIB4QAQPBUUNEIHFDA}

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	2026-05-17T23:49:44.582327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60b4a7c35d6a03c8020f0d28d220e5182e28a30d5ee083d41b1f89f6e47e9754

Aliases

arxiv: 1503.08232 · arxiv_version: 1503.08232v1 · doi: 10.48550/arxiv.1503.08232 · pith_short_12: MC2KPQ25NIB4 · pith_short_16: MC2KPQ25NIB4QAQP · pith_short_8: MC2KPQ25

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/MC2KPQ25NIB4QAQPBUUNEIHFDA \
  | 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: 60b4a7c35d6a03c8020f0d28d220e5182e28a30d5ee083d41b1f89f6e47e9754

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "531eeda5091112e1f8eea555a5aea9759a7e12290463fed35732291ddab684b9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-27T21:26:55Z",
    "title_canon_sha256": "57949b453c7d79146fe2553a877adde761ed5cb761aa1e68359375af52dd20b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08232",
    "kind": "arxiv",
    "version": 1
  }
}