Pith Number

pith:MTUDQOY2

pith:2014:MTUDQOY2XDTEYP32SBAR2J4ADA

not attested not anchored not stored refs pending

Improvable upper bounds to the piezoelectric polaron ground state energy

A.V. Soldatov

arxiv:1501.00193 v1 · 2014-12-31 · 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{MTUDQOY2XDTEYP32SBAR2J4ADA}

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	2026-05-18T02:30:09.906348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64e8383b1ab8e64c3f7a90411d27801823285266619f8e8fabf5e6ad5f06c42d

Aliases

arxiv: 1501.00193 · arxiv_version: 1501.00193v1 · doi: 10.48550/arxiv.1501.00193 · pith_short_12: MTUDQOY2XDTE · pith_short_16: MTUDQOY2XDTEYP32 · pith_short_8: MTUDQOY2

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/MTUDQOY2XDTEYP32SBAR2J4ADA \
  | 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: 64e8383b1ab8e64c3f7a90411d27801823285266619f8e8fabf5e6ad5f06c42d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7436b2d0620a634f659a4903a7f4e078182a83c9843067ea10b6a8e2fbb3192f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-12-31T19:17:30Z",
    "title_canon_sha256": "e0e573bca1462531d774541ab7887b2a3348ff67597ec6b34e4a729be26beae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00193",
    "kind": "arxiv",
    "version": 1
  }
}