Pith Number

pith:NRZ2IBSZ

pith:2026:NRZ2IBSZDN6TAUKQKOCRMBYRAJ

not attested not anchored not stored refs pending

Lower bound on the energy-momentum relation of the polaron

Steffen Polzer

arxiv:2607.05286 v1 · 2026-07-06 · 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{NRZ2IBSZDN6TAUKQKOCRMBYRAJ}

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	2026-07-07T03:19:22.200507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c73a406591b7d3051505385160711027460aedfa326207b592ca097e4a319af

Aliases

arxiv: 2607.05286 · arxiv_version: 2607.05286v1 · doi: 10.48550/arxiv.2607.05286 · pith_short_12: NRZ2IBSZDN6T · pith_short_16: NRZ2IBSZDN6TAUKQ · pith_short_8: NRZ2IBSZ

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/NRZ2IBSZDN6TAUKQKOCRMBYRAJ \
  | 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: 6c73a406591b7d3051505385160711027460aedfa326207b592ca097e4a319af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c8785307882d310709e8bcdc1cb376565dc23536c61bb23385562d326514b2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-06T16:28:47Z",
    "title_canon_sha256": "ae5be62066ac2e39b0903ce0731a189b00212e63aa43c472b6333b805b629d26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05286",
    "kind": "arxiv",
    "version": 1
  }
}