Pith Number

pith:VYCGILVR

pith:2013:VYCGILVRMPUUCCGHYLO2MLG7J5

not attested not anchored not stored refs pending

Propagators in Polymer Quantum Mechanics

Ernesto Flores-Gonz\'alez, Hugo A. Morales-T\'ecotl, Juan D. Reyes

arxiv:1302.1906 v1 · 2013-02-07 · math-ph · gr-qc · 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{VYCGILVRMPUUCCGHYLO2MLG7J5}

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	2026-05-18T02:16:39.507894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae04642eb163e94108c7c2dda62cdf4f76aaa2a1339ad0c628dc7d5f8f32cd69

Aliases

arxiv: 1302.1906 · arxiv_version: 1302.1906v1 · doi: 10.48550/arxiv.1302.1906 · pith_short_12: VYCGILVRMPUU · pith_short_16: VYCGILVRMPUUCCGH · pith_short_8: VYCGILVR

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/VYCGILVRMPUUCCGHYLO2MLG7J5 \
  | 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: ae04642eb163e94108c7c2dda62cdf4f76aaa2a1339ad0c628dc7d5f8f32cd69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4929fcf655d0099332d7443143cfabfa7b3f78604f8e3a6e89f77abbf2732404",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-07T23:06:26Z",
    "title_canon_sha256": "4cdbfc6f6e296e575f5afc4623d35ebf229c5179f7c15e4afaa6b2fe9eec48c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1906",
    "kind": "arxiv",
    "version": 1
  }
}