Pith Number

pith:MOT3QI7L

pith:2012:MOT3QI7LTF5UTUKYTCI6HK76RF

not attested not anchored not stored refs pending

Sum rule analysis of vector and axial-vector spectral functions with excited states in vacuum

Paul M. Hohler, Ralf Rapp

arxiv:1204.6309 v2 · 2012-04-27 · hep-ph · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOT3QI7LTF5UTUKYTCI6HK76RF}

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	2026-05-18T01:57:43.039779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63a7b823eb997b49d1589891e3abfe8955b3ad5260c79e2d9b501394a6526442

Aliases

arxiv: 1204.6309 · arxiv_version: 1204.6309v2 · doi: 10.48550/arxiv.1204.6309 · pith_short_12: MOT3QI7LTF5U · pith_short_16: MOT3QI7LTF5UTUKY · pith_short_8: MOT3QI7L

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/MOT3QI7LTF5UTUKYTCI6HK76RF \
  | 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: 63a7b823eb997b49d1589891e3abfe8955b3ad5260c79e2d9b501394a6526442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e2801696df7994bc031e9c86b57c42fda5be53ac03c457edf149c6565540883",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-04-27T19:51:52Z",
    "title_canon_sha256": "abd607c2215c601a1bb4ac958fc127bb5861706f0a2fdfd99d3c25f8fe205f29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6309",
    "kind": "arxiv",
    "version": 2
  }
}